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Finding the Third Proportional to 400,417 and 539,335

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Solution

The third proportional to 400,417 and 539,335 is: 726,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,417 : 539,335 = 539,335 : x
  2. Step 2: Convert to fraction form
    400,417/539,335 = 539,335/x
  3. Step 3: Cross multiply
    400,417x = 539,335 × 539,335
  4. Step 4: Simplify right side
    400,417x = 290,882,242,225
  5. Step 5: Solve for x
    x = 290,882,242,225/400,417
  6. Step 6: Final answer
    x = 726,448.28

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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.