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Finding the Third Proportional to 71,258,781.80 and 156,137,812.31

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Solution

The third proportional to 71,258,781.80 and 156,137,812.31 is: 342,119,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,258,781.80 : 156,137,812.31 = 156,137,812.31 : x
  2. Step 2: Convert to fraction form
    71,258,781.80/156,137,812.31 = 156,137,812.31/x
  3. Step 3: Cross multiply
    71,258,781.80x = 156,137,812.31 × 156,137,812.31
  4. Step 4: Simplify right side
    71,258,781.80x = 24,379,016,433,733,476
  5. Step 5: Solve for x
    x = 24,379,016,433,733,476/71,258,781.80
  6. Step 6: Final answer
    x = 342,119,466.81

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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.