Home / 232,986-509,584

Finding the Third Proportional to 232,986 and 509,584

Calculator

Solution

The third proportional to 232,986 and 509,584 is: 1,114,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,986 : 509,584 = 509,584 : x
  2. Step 2: Convert to fraction form
    232,986/509,584 = 509,584/x
  3. Step 3: Cross multiply
    232,986x = 509,584 × 509,584
  4. Step 4: Simplify right side
    232,986x = 259,675,853,056
  5. Step 5: Solve for x
    x = 259,675,853,056/232,986
  6. Step 6: Final answer
    x = 1,114,555.61

Related Problems

Find third proportional to 116,493 and 254,792
Half scale
Find third proportional to 465,972 and 1,019,168
Double scale
Find third proportional to 232,988 and 509,588
Similar ratio
Find third proportional to 349,479 and 764,376
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.