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Finding the Third Proportional to 71,431.88 and 156,962.81

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Solution

The third proportional to 71,431.88 and 156,962.81 is: 344,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431.88 : 156,962.81 = 156,962.81 : x
  2. Step 2: Convert to fraction form
    71,431.88/156,962.81 = 156,962.81/x
  3. Step 3: Cross multiply
    71,431.88x = 156,962.81 × 156,962.81
  4. Step 4: Simplify right side
    71,431.88x = 24,637,324,507.91
  5. Step 5: Solve for x
    x = 24,637,324,507.91/71,431.88
  6. Step 6: Final answer
    x = 344,906.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.