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Finding the Third Proportional to 221,889.38 and 360,505.69

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Solution

The third proportional to 221,889.38 and 360,505.69 is: 585,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,889.38 : 360,505.69 = 360,505.69 : x
  2. Step 2: Convert to fraction form
    221,889.38/360,505.69 = 360,505.69/x
  3. Step 3: Cross multiply
    221,889.38x = 360,505.69 × 360,505.69
  4. Step 4: Simplify right side
    221,889.38x = 129,964,350,719.85
  5. Step 5: Solve for x
    x = 129,964,350,719.85/221,889.38
  6. Step 6: Final answer
    x = 585,716.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.