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Finding the Third Proportional to 391,407,749 and 547,503,960

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Solution

The third proportional to 391,407,749 and 547,503,960 is: 765,852,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,407,749 : 547,503,960 = 547,503,960 : x
  2. Step 2: Convert to fraction form
    391,407,749/547,503,960 = 547,503,960/x
  3. Step 3: Cross multiply
    391,407,749x = 547,503,960 × 547,503,960
  4. Step 4: Simplify right side
    391,407,749x = 299,760,586,215,681,600
  5. Step 5: Solve for x
    x = 299,760,586,215,681,600/391,407,749
  6. Step 6: Final answer
    x = 765,852,456.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.