Home / 309,717.84-416,826.84

Finding the Third Proportional to 309,717.84 and 416,826.84

Calculator

Solution

The third proportional to 309,717.84 and 416,826.84 is: 560,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,717.84 : 416,826.84 = 416,826.84 : x
  2. Step 2: Convert to fraction form
    309,717.84/416,826.84 = 416,826.84/x
  3. Step 3: Cross multiply
    309,717.84x = 416,826.84 × 416,826.84
  4. Step 4: Simplify right side
    309,717.84x = 173,744,617,670.59
  5. Step 5: Solve for x
    x = 173,744,617,670.59/309,717.84
  6. Step 6: Final answer
    x = 560,977.10

Related Problems

Find third proportional to 154,858.92 and 208,413.42
Half scale
Find third proportional to 619,435.69 and 833,653.69
Double scale
Find third proportional to 309,720 and 416,830
Similar ratio
Find third proportional to 464,576.77 and 625,240.27
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.