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Finding the Third Proportional to 416.18 and 766.76

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Solution

The third proportional to 416.18 and 766.76 is: 1,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.18 : 766.76 = 766.76 : x
  2. Step 2: Convert to fraction form
    416.18/766.76 = 766.76/x
  3. Step 3: Cross multiply
    416.18x = 766.76 × 766.76
  4. Step 4: Simplify right side
    416.18x = 587,917.54
  5. Step 5: Solve for x
    x = 587,917.54/416.18
  6. Step 6: Final answer
    x = 1,412.65

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.