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Finding the Third Proportional to 402.25 and 709.25

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Solution

The third proportional to 402.25 and 709.25 is: 1,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.25 : 709.25 = 709.25 : x
  2. Step 2: Convert to fraction form
    402.25/709.25 = 709.25/x
  3. Step 3: Cross multiply
    402.25x = 709.25 × 709.25
  4. Step 4: Simplify right side
    402.25x = 503,035.56
  5. Step 5: Solve for x
    x = 503,035.56/402.25
  6. Step 6: Final answer
    x = 1,250.55

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.