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Finding the Third Proportional to 138,601.13 and 220,613.63

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Solution

The third proportional to 138,601.13 and 220,613.63 is: 351,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.13 : 220,613.63 = 220,613.63 : x
  2. Step 2: Convert to fraction form
    138,601.13/220,613.63 = 220,613.63/x
  3. Step 3: Cross multiply
    138,601.13x = 220,613.63 × 220,613.63
  4. Step 4: Simplify right side
    138,601.13x = 48,670,371,535.64
  5. Step 5: Solve for x
    x = 48,670,371,535.64/138,601.13
  6. Step 6: Final answer
    x = 351,154.23

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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.