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Finding the Third Proportional to 157,711,443 and 345,153,876

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Solution

The third proportional to 157,711,443 and 345,153,876 is: 755,374,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,711,443 : 345,153,876 = 345,153,876 : x
  2. Step 2: Convert to fraction form
    157,711,443/345,153,876 = 345,153,876/x
  3. Step 3: Cross multiply
    157,711,443x = 345,153,876 × 345,153,876
  4. Step 4: Simplify right side
    157,711,443x = 119,131,198,117,823,376
  5. Step 5: Solve for x
    x = 119,131,198,117,823,376/157,711,443
  6. Step 6: Final answer
    x = 755,374,472.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.