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Finding the Third Proportional to 65,397.38 and 136,717.88

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Solution

The third proportional to 65,397.38 and 136,717.88 is: 285,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,397.38 : 136,717.88 = 136,717.88 : x
  2. Step 2: Convert to fraction form
    65,397.38/136,717.88 = 136,717.88/x
  3. Step 3: Cross multiply
    65,397.38x = 136,717.88 × 136,717.88
  4. Step 4: Simplify right side
    65,397.38x = 18,691,777,344.52
  5. Step 5: Solve for x
    x = 18,691,777,344.52/65,397.38
  6. Step 6: Final answer
    x = 285,818.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.