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Finding the Third Proportional to 142,488.38 and 222,359.13

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Solution

The third proportional to 142,488.38 and 222,359.13 is: 347,000.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488.38 : 222,359.13 = 222,359.13 : x
  2. Step 2: Convert to fraction form
    142,488.38/222,359.13 = 222,359.13/x
  3. Step 3: Cross multiply
    142,488.38x = 222,359.13 × 222,359.13
  4. Step 4: Simplify right side
    142,488.38x = 49,443,580,470.77
  5. Step 5: Solve for x
    x = 49,443,580,470.77/142,488.38
  6. Step 6: Final answer
    x = 347,000.80

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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.