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Finding the Third Proportional to 912.38 and 1,999.69

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Solution

The third proportional to 912.38 and 1,999.69 is: 4,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.38 : 1,999.69 = 1,999.69 : x
  2. Step 2: Convert to fraction form
    912.38/1,999.69 = 1,999.69/x
  3. Step 3: Cross multiply
    912.38x = 1,999.69 × 1,999.69
  4. Step 4: Simplify right side
    912.38x = 3,998,750.10
  5. Step 5: Solve for x
    x = 3,998,750.10/912.38
  6. Step 6: Final answer
    x = 4,382.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.