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Finding the Third Proportional to 10,109.18 and 20,713.85

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Solution

The third proportional to 10,109.18 and 20,713.85 is: 42,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.18 : 20,713.85 = 20,713.85 : x
  2. Step 2: Convert to fraction form
    10,109.18/20,713.85 = 20,713.85/x
  3. Step 3: Cross multiply
    10,109.18x = 20,713.85 × 20,713.85
  4. Step 4: Simplify right side
    10,109.18x = 429,063,646.55
  5. Step 5: Solve for x
    x = 429,063,646.55/10,109.18
  6. Step 6: Final answer
    x = 42,442.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.