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Finding the Third Proportional to 31,429.50 and 68,691

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Solution

The third proportional to 31,429.50 and 68,691 is: 150,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.50 : 68,691 = 68,691 : x
  2. Step 2: Convert to fraction form
    31,429.50/68,691 = 68,691/x
  3. Step 3: Cross multiply
    31,429.50x = 68,691 × 68,691
  4. Step 4: Simplify right side
    31,429.50x = 4,718,453,481
  5. Step 5: Solve for x
    x = 4,718,453,481/31,429.50
  6. Step 6: Final answer
    x = 150,128.18

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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.