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Finding the Third Proportional to 31,730 and 68,764

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Solution

The third proportional to 31,730 and 68,764 is: 149,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,730 : 68,764 = 68,764 : x
  2. Step 2: Convert to fraction form
    31,730/68,764 = 68,764/x
  3. Step 3: Cross multiply
    31,730x = 68,764 × 68,764
  4. Step 4: Simplify right side
    31,730x = 4,728,487,696
  5. Step 5: Solve for x
    x = 4,728,487,696/31,730
  6. Step 6: Final answer
    x = 149,022.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.