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Finding the Third Proportional to 7,658.25 and 15,640.88

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Solution

The third proportional to 7,658.25 and 15,640.88 is: 31,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.25 : 15,640.88 = 15,640.88 : x
  2. Step 2: Convert to fraction form
    7,658.25/15,640.88 = 15,640.88/x
  3. Step 3: Cross multiply
    7,658.25x = 15,640.88 × 15,640.88
  4. Step 4: Simplify right side
    7,658.25x = 244,636,970.77
  5. Step 5: Solve for x
    x = 244,636,970.77/7,658.25
  6. Step 6: Final answer
    x = 31,944.24

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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.