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Finding the Third Proportional to 407.75 and 727.75

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Solution

The third proportional to 407.75 and 727.75 is: 1,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.75 : 727.75 = 727.75 : x
  2. Step 2: Convert to fraction form
    407.75/727.75 = 727.75/x
  3. Step 3: Cross multiply
    407.75x = 727.75 × 727.75
  4. Step 4: Simplify right side
    407.75x = 529,620.06
  5. Step 5: Solve for x
    x = 529,620.06/407.75
  6. Step 6: Final answer
    x = 1,298.88

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.