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Finding the Third Proportional to 65,915 and 102,149

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Solution

The third proportional to 65,915 and 102,149 is: 158,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,915 : 102,149 = 102,149 : x
  2. Step 2: Convert to fraction form
    65,915/102,149 = 102,149/x
  3. Step 3: Cross multiply
    65,915x = 102,149 × 102,149
  4. Step 4: Simplify right side
    65,915x = 10,434,418,201
  5. Step 5: Solve for x
    x = 10,434,418,201/65,915
  6. Step 6: Final answer
    x = 158,301.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.