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Finding the Third Proportional to 4,121.72 and 6,387.19

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Solution

The third proportional to 4,121.72 and 6,387.19 is: 9,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.72 : 6,387.19 = 6,387.19 : x
  2. Step 2: Convert to fraction form
    4,121.72/6,387.19 = 6,387.19/x
  3. Step 3: Cross multiply
    4,121.72x = 6,387.19 × 6,387.19
  4. Step 4: Simplify right side
    4,121.72x = 40,796,164.16
  5. Step 5: Solve for x
    x = 40,796,164.16/4,121.72
  6. Step 6: Final answer
    x = 9,897.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.