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Finding the Third Proportional to 3,886.50 and 6,157.13

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Solution

The third proportional to 3,886.50 and 6,157.13 is: 9,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.50 : 6,157.13 = 6,157.13 : x
  2. Step 2: Convert to fraction form
    3,886.50/6,157.13 = 6,157.13/x
  3. Step 3: Cross multiply
    3,886.50x = 6,157.13 × 6,157.13
  4. Step 4: Simplify right side
    3,886.50x = 37,910,188.27
  5. Step 5: Solve for x
    x = 37,910,188.27/3,886.50
  6. Step 6: Final answer
    x = 9,754.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.