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Finding the Third Proportional to 63,846 and 140,742

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Solution

The third proportional to 63,846 and 140,742 is: 310,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,846 : 140,742 = 140,742 : x
  2. Step 2: Convert to fraction form
    63,846/140,742 = 140,742/x
  3. Step 3: Cross multiply
    63,846x = 140,742 × 140,742
  4. Step 4: Simplify right side
    63,846x = 19,808,310,564
  5. Step 5: Solve for x
    x = 19,808,310,564/63,846
  6. Step 6: Final answer
    x = 310,251.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.