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Finding the Third Proportional to 3,999.38 and 9,689.63

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Solution

The third proportional to 3,999.38 and 9,689.63 is: 23,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.38 : 9,689.63 = 9,689.63 : x
  2. Step 2: Convert to fraction form
    3,999.38/9,689.63 = 9,689.63/x
  3. Step 3: Cross multiply
    3,999.38x = 9,689.63 × 9,689.63
  4. Step 4: Simplify right side
    3,999.38x = 93,888,832.64
  5. Step 5: Solve for x
    x = 93,888,832.64/3,999.38
  6. Step 6: Final answer
    x = 23,475.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.