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Finding the Third Proportional to 4,117.50 and 4,380.75

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Solution

The third proportional to 4,117.50 and 4,380.75 is: 4,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.50 : 4,380.75 = 4,380.75 : x
  2. Step 2: Convert to fraction form
    4,117.50/4,380.75 = 4,380.75/x
  3. Step 3: Cross multiply
    4,117.50x = 4,380.75 × 4,380.75
  4. Step 4: Simplify right side
    4,117.50x = 19,190,970.56
  5. Step 5: Solve for x
    x = 19,190,970.56/4,117.50
  6. Step 6: Final answer
    x = 4,660.83

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.