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Finding the Third Proportional to 20,442 and 29,989.88

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Solution

The third proportional to 20,442 and 29,989.88 is: 43,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442 : 29,989.88 = 29,989.88 : x
  2. Step 2: Convert to fraction form
    20,442/29,989.88 = 29,989.88/x
  3. Step 3: Cross multiply
    20,442x = 29,989.88 × 29,989.88
  4. Step 4: Simplify right side
    20,442x = 899,392,602.52
  5. Step 5: Solve for x
    x = 899,392,602.52/20,442
  6. Step 6: Final answer
    x = 43,997.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.