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Finding the Third Proportional to 71,969,680 and 156,717,920

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Solution

The third proportional to 71,969,680 and 156,717,920 is: 341,261,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,969,680 : 156,717,920 = 156,717,920 : x
  2. Step 2: Convert to fraction form
    71,969,680/156,717,920 = 156,717,920/x
  3. Step 3: Cross multiply
    71,969,680x = 156,717,920 × 156,717,920
  4. Step 4: Simplify right side
    71,969,680x = 24,560,506,449,126,400
  5. Step 5: Solve for x
    x = 24,560,506,449,126,400/71,969,680
  6. Step 6: Final answer
    x = 341,261,854.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.