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Finding the Third Proportional to 29,920.50 and 63,729

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Solution

The third proportional to 29,920.50 and 63,729 is: 135,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920.50 : 63,729 = 63,729 : x
  2. Step 2: Convert to fraction form
    29,920.50/63,729 = 63,729/x
  3. Step 3: Cross multiply
    29,920.50x = 63,729 × 63,729
  4. Step 4: Simplify right side
    29,920.50x = 4,061,385,441
  5. Step 5: Solve for x
    x = 4,061,385,441/29,920.50
  6. Step 6: Final answer
    x = 135,739.22

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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.