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Finding the Third Proportional to 425.28 and 657.14

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Solution

The third proportional to 425.28 and 657.14 is: 1,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.28 : 657.14 = 657.14 : x
  2. Step 2: Convert to fraction form
    425.28/657.14 = 657.14/x
  3. Step 3: Cross multiply
    425.28x = 657.14 × 657.14
  4. Step 4: Simplify right side
    425.28x = 431,834.52
  5. Step 5: Solve for x
    x = 431,834.52/425.28
  6. Step 6: Final answer
    x = 1,015.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.