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Finding the Third Proportional to 12,658.78 and 20,260.13

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Solution

The third proportional to 12,658.78 and 20,260.13 is: 32,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.78 : 20,260.13 = 20,260.13 : x
  2. Step 2: Convert to fraction form
    12,658.78/20,260.13 = 20,260.13/x
  3. Step 3: Cross multiply
    12,658.78x = 20,260.13 × 20,260.13
  4. Step 4: Simplify right side
    12,658.78x = 410,472,665.02
  5. Step 5: Solve for x
    x = 410,472,665.02/12,658.78
  6. Step 6: Final answer
    x = 32,425.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.