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Finding the Third Proportional to 5,815.31 and 8,306.16

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Solution

The third proportional to 5,815.31 and 8,306.16 is: 11,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.31 : 8,306.16 = 8,306.16 : x
  2. Step 2: Convert to fraction form
    5,815.31/8,306.16 = 8,306.16/x
  3. Step 3: Cross multiply
    5,815.31x = 8,306.16 × 8,306.16
  4. Step 4: Simplify right side
    5,815.31x = 68,992,231.65
  5. Step 5: Solve for x
    x = 68,992,231.65/5,815.31
  6. Step 6: Final answer
    x = 11,863.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.