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Finding the Third Proportional to 3,864.50 and 5,634.75

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Solution

The third proportional to 3,864.50 and 5,634.75 is: 8,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.50 : 5,634.75 = 5,634.75 : x
  2. Step 2: Convert to fraction form
    3,864.50/5,634.75 = 5,634.75/x
  3. Step 3: Cross multiply
    3,864.50x = 5,634.75 × 5,634.75
  4. Step 4: Simplify right side
    3,864.50x = 31,750,407.56
  5. Step 5: Solve for x
    x = 31,750,407.56/3,864.50
  6. Step 6: Final answer
    x = 8,215.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.