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Finding the Third Proportional to 64,999 and 142,742

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Solution

The third proportional to 64,999 and 142,742 is: 313,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,999 : 142,742 = 142,742 : x
  2. Step 2: Convert to fraction form
    64,999/142,742 = 142,742/x
  3. Step 3: Cross multiply
    64,999x = 142,742 × 142,742
  4. Step 4: Simplify right side
    64,999x = 20,375,278,564
  5. Step 5: Solve for x
    x = 20,375,278,564/64,999
  6. Step 6: Final answer
    x = 313,470.65

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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.