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Finding the Third Proportional to 12,882.80 and 18,862.88

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Solution

The third proportional to 12,882.80 and 18,862.88 is: 27,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.80 : 18,862.88 = 18,862.88 : x
  2. Step 2: Convert to fraction form
    12,882.80/18,862.88 = 18,862.88/x
  3. Step 3: Cross multiply
    12,882.80x = 18,862.88 × 18,862.88
  4. Step 4: Simplify right side
    12,882.80x = 355,808,053.27
  5. Step 5: Solve for x
    x = 355,808,053.27/12,882.80
  6. Step 6: Final answer
    x = 27,618.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.