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Finding the Third Proportional to 3,160.50 and 4,182.75

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Solution

The third proportional to 3,160.50 and 4,182.75 is: 5,535.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.50 : 4,182.75 = 4,182.75 : x
  2. Step 2: Convert to fraction form
    3,160.50/4,182.75 = 4,182.75/x
  3. Step 3: Cross multiply
    3,160.50x = 4,182.75 × 4,182.75
  4. Step 4: Simplify right side
    3,160.50x = 17,495,397.56
  5. Step 5: Solve for x
    x = 17,495,397.56/3,160.50
  6. Step 6: Final answer
    x = 5,535.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.