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Finding the Third Proportional to 484 and 727.25

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Solution

The third proportional to 484 and 727.25 is: 1,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484 : 727.25 = 727.25 : x
  2. Step 2: Convert to fraction form
    484/727.25 = 727.25/x
  3. Step 3: Cross multiply
    484x = 727.25 × 727.25
  4. Step 4: Simplify right side
    484x = 528,892.56
  5. Step 5: Solve for x
    x = 528,892.56/484
  6. Step 6: Final answer
    x = 1,092.75

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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.