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Finding the Third Proportional to 142,575.75 and 213,437.25

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Solution

The third proportional to 142,575.75 and 213,437.25 is: 319,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,575.75 : 213,437.25 = 213,437.25 : x
  2. Step 2: Convert to fraction form
    142,575.75/213,437.25 = 213,437.25/x
  3. Step 3: Cross multiply
    142,575.75x = 213,437.25 × 213,437.25
  4. Step 4: Simplify right side
    142,575.75x = 45,555,459,687.56
  5. Step 5: Solve for x
    x = 45,555,459,687.56/142,575.75
  6. Step 6: Final answer
    x = 319,517.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.