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Finding the Third Proportional to 701.50 and 1,542.25

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Solution

The third proportional to 701.50 and 1,542.25 is: 3,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.50 : 1,542.25 = 1,542.25 : x
  2. Step 2: Convert to fraction form
    701.50/1,542.25 = 1,542.25/x
  3. Step 3: Cross multiply
    701.50x = 1,542.25 × 1,542.25
  4. Step 4: Simplify right side
    701.50x = 2,378,535.06
  5. Step 5: Solve for x
    x = 2,378,535.06/701.50
  6. Step 6: Final answer
    x = 3,390.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.