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Finding the Third Proportional to 5,854.78 and 8,463.23

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Solution

The third proportional to 5,854.78 and 8,463.23 is: 12,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.78 : 8,463.23 = 8,463.23 : x
  2. Step 2: Convert to fraction form
    5,854.78/8,463.23 = 8,463.23/x
  3. Step 3: Cross multiply
    5,854.78x = 8,463.23 × 8,463.23
  4. Step 4: Simplify right side
    5,854.78x = 71,626,336.09
  5. Step 5: Solve for x
    x = 71,626,336.09/5,854.78
  6. Step 6: Final answer
    x = 12,233.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.