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Finding the Third Proportional to 66,188 and 142,742

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Solution

The third proportional to 66,188 and 142,742 is: 307,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,188 : 142,742 = 142,742 : x
  2. Step 2: Convert to fraction form
    66,188/142,742 = 142,742/x
  3. Step 3: Cross multiply
    66,188x = 142,742 × 142,742
  4. Step 4: Simplify right side
    66,188x = 20,375,278,564
  5. Step 5: Solve for x
    x = 20,375,278,564/66,188
  6. Step 6: Final answer
    x = 307,839.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.