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Finding the Third Proportional to 259,649 and 539,937

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Solution

The third proportional to 259,649 and 539,937 is: 1,122,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,649 : 539,937 = 539,937 : x
  2. Step 2: Convert to fraction form
    259,649/539,937 = 539,937/x
  3. Step 3: Cross multiply
    259,649x = 539,937 × 539,937
  4. Step 4: Simplify right side
    259,649x = 291,531,963,969
  5. Step 5: Solve for x
    x = 291,531,963,969/259,649
  6. Step 6: Final answer
    x = 1,122,792.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.