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Finding the Third Proportional to 138,601.13 and 220,340.25

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Solution

The third proportional to 138,601.13 and 220,340.25 is: 350,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.13 : 220,340.25 = 220,340.25 : x
  2. Step 2: Convert to fraction form
    138,601.13/220,340.25 = 220,340.25/x
  3. Step 3: Cross multiply
    138,601.13x = 220,340.25 × 220,340.25
  4. Step 4: Simplify right side
    138,601.13x = 48,549,825,770.06
  5. Step 5: Solve for x
    x = 48,549,825,770.06/138,601.13
  6. Step 6: Final answer
    x = 350,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.