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Finding the Third Proportional to 20,191.78 and 31,419.14

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Solution

The third proportional to 20,191.78 and 31,419.14 is: 48,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.78 : 31,419.14 = 31,419.14 : x
  2. Step 2: Convert to fraction form
    20,191.78/31,419.14 = 31,419.14/x
  3. Step 3: Cross multiply
    20,191.78x = 31,419.14 × 31,419.14
  4. Step 4: Simplify right side
    20,191.78x = 987,162,397.61
  5. Step 5: Solve for x
    x = 987,162,397.61/20,191.78
  6. Step 6: Final answer
    x = 48,889.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.