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Finding the Third Proportional to 31,686.19 and 67,407.19

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Solution

The third proportional to 31,686.19 and 67,407.19 is: 143,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.19 : 67,407.19 = 67,407.19 : x
  2. Step 2: Convert to fraction form
    31,686.19/67,407.19 = 67,407.19/x
  3. Step 3: Cross multiply
    31,686.19x = 67,407.19 × 67,407.19
  4. Step 4: Simplify right side
    31,686.19x = 4,543,728,926.66
  5. Step 5: Solve for x
    x = 4,543,728,926.66/31,686.19
  6. Step 6: Final answer
    x = 143,397.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.