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Finding the Third Proportional to 20,685 and 45,744

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Solution

The third proportional to 20,685 and 45,744 is: 101,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685 : 45,744 = 45,744 : x
  2. Step 2: Convert to fraction form
    20,685/45,744 = 45,744/x
  3. Step 3: Cross multiply
    20,685x = 45,744 × 45,744
  4. Step 4: Simplify right side
    20,685x = 2,092,513,536
  5. Step 5: Solve for x
    x = 2,092,513,536/20,685
  6. Step 6: Final answer
    x = 101,160.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.