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Finding the Third Proportional to 63,836 and 135,742

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Solution

The third proportional to 63,836 and 135,742 is: 288,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,836 : 135,742 = 135,742 : x
  2. Step 2: Convert to fraction form
    63,836/135,742 = 135,742/x
  3. Step 3: Cross multiply
    63,836x = 135,742 × 135,742
  4. Step 4: Simplify right side
    63,836x = 18,425,890,564
  5. Step 5: Solve for x
    x = 18,425,890,564/63,836
  6. Step 6: Final answer
    x = 288,644.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.