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Finding the Third Proportional to 31,585.50 and 68,739

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Solution

The third proportional to 31,585.50 and 68,739 is: 149,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585.50 : 68,739 = 68,739 : x
  2. Step 2: Convert to fraction form
    31,585.50/68,739 = 68,739/x
  3. Step 3: Cross multiply
    31,585.50x = 68,739 × 68,739
  4. Step 4: Simplify right side
    31,585.50x = 4,725,050,121
  5. Step 5: Solve for x
    x = 4,725,050,121/31,585.50
  6. Step 6: Final answer
    x = 149,595.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.