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Finding the Third Proportional to 10,920.38 and 23,397.19

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Solution

The third proportional to 10,920.38 and 23,397.19 is: 50,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.38 : 23,397.19 = 23,397.19 : x
  2. Step 2: Convert to fraction form
    10,920.38/23,397.19 = 23,397.19/x
  3. Step 3: Cross multiply
    10,920.38x = 23,397.19 × 23,397.19
  4. Step 4: Simplify right side
    10,920.38x = 547,428,382.91
  5. Step 5: Solve for x
    x = 547,428,382.91/10,920.38
  6. Step 6: Final answer
    x = 50,129.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.