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Finding the Third Proportional to 151,422.75 and 220,086

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Solution

The third proportional to 151,422.75 and 220,086 is: 319,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,422.75 : 220,086 = 220,086 : x
  2. Step 2: Convert to fraction form
    151,422.75/220,086 = 220,086/x
  3. Step 3: Cross multiply
    151,422.75x = 220,086 × 220,086
  4. Step 4: Simplify right side
    151,422.75x = 48,437,847,396
  5. Step 5: Solve for x
    x = 48,437,847,396/151,422.75
  6. Step 6: Final answer
    x = 319,884.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.