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Finding the Third Proportional to 7,724.50 and 15,721.50

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Solution

The third proportional to 7,724.50 and 15,721.50 is: 31,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.50 : 15,721.50 = 15,721.50 : x
  2. Step 2: Convert to fraction form
    7,724.50/15,721.50 = 15,721.50/x
  3. Step 3: Cross multiply
    7,724.50x = 15,721.50 × 15,721.50
  4. Step 4: Simplify right side
    7,724.50x = 247,165,562.25
  5. Step 5: Solve for x
    x = 247,165,562.25/7,724.50
  6. Step 6: Final answer
    x = 31,997.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.