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Finding the Third Proportional to 655.28 and 1,425.57

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Solution

The third proportional to 655.28 and 1,425.57 is: 3,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.28 : 1,425.57 = 1,425.57 : x
  2. Step 2: Convert to fraction form
    655.28/1,425.57 = 1,425.57/x
  3. Step 3: Cross multiply
    655.28x = 1,425.57 × 1,425.57
  4. Step 4: Simplify right side
    655.28x = 2,032,245.15
  5. Step 5: Solve for x
    x = 2,032,245.15/655.28
  6. Step 6: Final answer
    x = 3,101.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.