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Finding the Third Proportional to 688.25 and 1,033.25

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Solution

The third proportional to 688.25 and 1,033.25 is: 1,551.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.25 : 1,033.25 = 1,033.25 : x
  2. Step 2: Convert to fraction form
    688.25/1,033.25 = 1,033.25/x
  3. Step 3: Cross multiply
    688.25x = 1,033.25 × 1,033.25
  4. Step 4: Simplify right side
    688.25x = 1,067,605.56
  5. Step 5: Solve for x
    x = 1,067,605.56/688.25
  6. Step 6: Final answer
    x = 1,551.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.