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Finding the Third Proportional to 142,635.38 and 222,132.38

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Solution

The third proportional to 142,635.38 and 222,132.38 is: 345,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,635.38 : 222,132.38 = 222,132.38 : x
  2. Step 2: Convert to fraction form
    142,635.38/222,132.38 = 222,132.38/x
  3. Step 3: Cross multiply
    142,635.38x = 222,132.38 × 222,132.38
  4. Step 4: Simplify right side
    142,635.38x = 49,342,792,023.14
  5. Step 5: Solve for x
    x = 49,342,792,023.14/142,635.38
  6. Step 6: Final answer
    x = 345,936.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.