Home / 269,820-416,898

Finding the Third Proportional to 269,820 and 416,898

Calculator

Solution

The third proportional to 269,820 and 416,898 is: 644,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,820 : 416,898 = 416,898 : x
  2. Step 2: Convert to fraction form
    269,820/416,898 = 416,898/x
  3. Step 3: Cross multiply
    269,820x = 416,898 × 416,898
  4. Step 4: Simplify right side
    269,820x = 173,803,942,404
  5. Step 5: Solve for x
    x = 173,803,942,404/269,820
  6. Step 6: Final answer
    x = 644,147.74

Related Problems

Find third proportional to 134,910 and 208,449
Half scale
Find third proportional to 539,640 and 833,796
Double scale
Find third proportional to 269,822 and 416,901
Similar ratio
Find third proportional to 404,730 and 625,347
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.