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Finding the Third Proportional to 71,530 and 97,147

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Solution

The third proportional to 71,530 and 97,147 is: 131,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530 : 97,147 = 97,147 : x
  2. Step 2: Convert to fraction form
    71,530/97,147 = 97,147/x
  3. Step 3: Cross multiply
    71,530x = 97,147 × 97,147
  4. Step 4: Simplify right side
    71,530x = 9,437,539,609
  5. Step 5: Solve for x
    x = 9,437,539,609/71,530
  6. Step 6: Final answer
    x = 131,938.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.