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Finding the Third Proportional to 8,417.67 and 12,882.80

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Solution

The third proportional to 8,417.67 and 12,882.80 is: 19,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.67 : 12,882.80 = 12,882.80 : x
  2. Step 2: Convert to fraction form
    8,417.67/12,882.80 = 12,882.80/x
  3. Step 3: Cross multiply
    8,417.67x = 12,882.80 × 12,882.80
  4. Step 4: Simplify right side
    8,417.67x = 165,966,455.32
  5. Step 5: Solve for x
    x = 165,966,455.32/8,417.67
  6. Step 6: Final answer
    x = 19,716.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.