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Finding the Third Proportional to 5,056.88 and 10,882.13

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Solution

The third proportional to 5,056.88 and 10,882.13 is: 23,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.88 : 10,882.13 = 10,882.13 : x
  2. Step 2: Convert to fraction form
    5,056.88/10,882.13 = 10,882.13/x
  3. Step 3: Cross multiply
    5,056.88x = 10,882.13 × 10,882.13
  4. Step 4: Simplify right side
    5,056.88x = 118,420,644.52
  5. Step 5: Solve for x
    x = 118,420,644.52/5,056.88
  6. Step 6: Final answer
    x = 23,417.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.