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Finding the Third Proportional to 425.25 and 657.07

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Solution

The third proportional to 425.25 and 657.07 is: 1,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.25 : 657.07 = 657.07 : x
  2. Step 2: Convert to fraction form
    425.25/657.07 = 657.07/x
  3. Step 3: Cross multiply
    425.25x = 657.07 × 657.07
  4. Step 4: Simplify right side
    425.25x = 431,741.40
  5. Step 5: Solve for x
    x = 431,741.40/425.25
  6. Step 6: Final answer
    x = 1,015.26

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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.