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Finding the Third Proportional to 538,358 and 731,451

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Solution

The third proportional to 538,358 and 731,451 is: 993,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,358 : 731,451 = 731,451 : x
  2. Step 2: Convert to fraction form
    538,358/731,451 = 731,451/x
  3. Step 3: Cross multiply
    538,358x = 731,451 × 731,451
  4. Step 4: Simplify right side
    538,358x = 535,020,565,401
  5. Step 5: Solve for x
    x = 535,020,565,401/538,358
  6. Step 6: Final answer
    x = 993,800.72

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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.