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Finding the Third Proportional to 65,100.38 and 138,197.81

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Solution

The third proportional to 65,100.38 and 138,197.81 is: 293,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,100.38 : 138,197.81 = 138,197.81 : x
  2. Step 2: Convert to fraction form
    65,100.38/138,197.81 = 138,197.81/x
  3. Step 3: Cross multiply
    65,100.38x = 138,197.81 × 138,197.81
  4. Step 4: Simplify right side
    65,100.38x = 19,098,635,379.79
  5. Step 5: Solve for x
    x = 19,098,635,379.79/65,100.38
  6. Step 6: Final answer
    x = 293,372.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.