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Finding the Third Proportional to 8,132.63 and 10,882.13

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Solution

The third proportional to 8,132.63 and 10,882.13 is: 14,561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.63 : 10,882.13 = 10,882.13 : x
  2. Step 2: Convert to fraction form
    8,132.63/10,882.13 = 10,882.13/x
  3. Step 3: Cross multiply
    8,132.63x = 10,882.13 × 10,882.13
  4. Step 4: Simplify right side
    8,132.63x = 118,420,644.52
  5. Step 5: Solve for x
    x = 118,420,644.52/8,132.63
  6. Step 6: Final answer
    x = 14,561.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.