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Finding the Third Proportional to 400,412 and 539,328

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Solution

The third proportional to 400,412 and 539,328 is: 726,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,412 : 539,328 = 539,328 : x
  2. Step 2: Convert to fraction form
    400,412/539,328 = 539,328/x
  3. Step 3: Cross multiply
    400,412x = 539,328 × 539,328
  4. Step 4: Simplify right side
    400,412x = 290,874,691,584
  5. Step 5: Solve for x
    x = 290,874,691,584/400,412
  6. Step 6: Final answer
    x = 726,438.50

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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.