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Finding the Third Proportional to 142,488.56 and 222,359.44

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Solution

The third proportional to 142,488.56 and 222,359.44 is: 347,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488.56 : 222,359.44 = 222,359.44 : x
  2. Step 2: Convert to fraction form
    142,488.56/222,359.44 = 222,359.44/x
  3. Step 3: Cross multiply
    142,488.56x = 222,359.44 × 222,359.44
  4. Step 4: Simplify right side
    142,488.56x = 49,443,719,445.32
  5. Step 5: Solve for x
    x = 49,443,719,445.32/142,488.56
  6. Step 6: Final answer
    x = 347,001.32

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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.