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Finding the Third Proportional to 5,689.13 and 8,728.31

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Solution

The third proportional to 5,689.13 and 8,728.31 is: 13,391.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.13 : 8,728.31 = 8,728.31 : x
  2. Step 2: Convert to fraction form
    5,689.13/8,728.31 = 8,728.31/x
  3. Step 3: Cross multiply
    5,689.13x = 8,728.31 × 8,728.31
  4. Step 4: Simplify right side
    5,689.13x = 76,183,439.10
  5. Step 5: Solve for x
    x = 76,183,439.10/5,689.13
  6. Step 6: Final answer
    x = 13,391.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.