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Finding the Third Proportional to 31,432 and 68,695

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Solution

The third proportional to 31,432 and 68,695 is: 150,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432 : 68,695 = 68,695 : x
  2. Step 2: Convert to fraction form
    31,432/68,695 = 68,695/x
  3. Step 3: Cross multiply
    31,432x = 68,695 × 68,695
  4. Step 4: Simplify right side
    31,432x = 4,719,003,025
  5. Step 5: Solve for x
    x = 4,719,003,025/31,432
  6. Step 6: Final answer
    x = 150,133.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.