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Finding the Third Proportional to 391,407,751 and 547,503,963

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Solution

The third proportional to 391,407,751 and 547,503,963 is: 765,852,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,407,751 : 547,503,963 = 547,503,963 : x
  2. Step 2: Convert to fraction form
    391,407,751/547,503,963 = 547,503,963/x
  3. Step 3: Cross multiply
    391,407,751x = 547,503,963 × 547,503,963
  4. Step 4: Simplify right side
    391,407,751x = 299,760,589,500,705,344
  5. Step 5: Solve for x
    x = 299,760,589,500,705,344/391,407,751
  6. Step 6: Final answer
    x = 765,852,461.37

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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.