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Finding the Third Proportional to 4,001.91 and 8,689.78

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Solution

The third proportional to 4,001.91 and 8,689.78 is: 18,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.91 : 8,689.78 = 8,689.78 : x
  2. Step 2: Convert to fraction form
    4,001.91/8,689.78 = 8,689.78/x
  3. Step 3: Cross multiply
    4,001.91x = 8,689.78 × 8,689.78
  4. Step 4: Simplify right side
    4,001.91x = 75,512,298.17
  5. Step 5: Solve for x
    x = 75,512,298.17/4,001.91
  6. Step 6: Final answer
    x = 18,869.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.