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Finding the Third Proportional to 3,891.38 and 5,108.06

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Solution

The third proportional to 3,891.38 and 5,108.06 is: 6,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.38 : 5,108.06 = 5,108.06 : x
  2. Step 2: Convert to fraction form
    3,891.38/5,108.06 = 5,108.06/x
  3. Step 3: Cross multiply
    3,891.38x = 5,108.06 × 5,108.06
  4. Step 4: Simplify right side
    3,891.38x = 26,092,302.50
  5. Step 5: Solve for x
    x = 26,092,302.50/3,891.38
  6. Step 6: Final answer
    x = 6,705.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.