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Finding the Third Proportional to 402,936 and 547,553

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Solution

The third proportional to 402,936 and 547,553 is: 744,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,936 : 547,553 = 547,553 : x
  2. Step 2: Convert to fraction form
    402,936/547,553 = 547,553/x
  3. Step 3: Cross multiply
    402,936x = 547,553 × 547,553
  4. Step 4: Simplify right side
    402,936x = 299,814,287,809
  5. Step 5: Solve for x
    x = 299,814,287,809/402,936
  6. Step 6: Final answer
    x = 744,074.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.