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Finding the Third Proportional to 63,942 and 136,686

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Solution

The third proportional to 63,942 and 136,686 is: 292,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,942 : 136,686 = 136,686 : x
  2. Step 2: Convert to fraction form
    63,942/136,686 = 136,686/x
  3. Step 3: Cross multiply
    63,942x = 136,686 × 136,686
  4. Step 4: Simplify right side
    63,942x = 18,683,062,596
  5. Step 5: Solve for x
    x = 18,683,062,596/63,942
  6. Step 6: Final answer
    x = 292,187.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.