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Finding the Third Proportional to 285,534,494 and 385,253,073

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Solution

The third proportional to 285,534,494 and 385,253,073 is: 519,796,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,494 : 385,253,073 = 385,253,073 : x
  2. Step 2: Convert to fraction form
    285,534,494/385,253,073 = 385,253,073/x
  3. Step 3: Cross multiply
    285,534,494x = 385,253,073 × 385,253,073
  4. Step 4: Simplify right side
    285,534,494x = 148,419,930,255,943,328
  5. Step 5: Solve for x
    x = 148,419,930,255,943,328/285,534,494
  6. Step 6: Final answer
    x = 519,796,848.98

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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.