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Finding the Third Proportional to 3,977.86 and 6,157.90

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Solution

The third proportional to 3,977.86 and 6,157.90 is: 9,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.86 : 6,157.90 = 6,157.90 : x
  2. Step 2: Convert to fraction form
    3,977.86/6,157.90 = 6,157.90/x
  3. Step 3: Cross multiply
    3,977.86x = 6,157.90 × 6,157.90
  4. Step 4: Simplify right side
    3,977.86x = 37,919,713.17
  5. Step 5: Solve for x
    x = 37,919,713.17/3,977.86
  6. Step 6: Final answer
    x = 9,532.69

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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.