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Finding the Third Proportional to 417.66 and 775.83

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Solution

The third proportional to 417.66 and 775.83 is: 1,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 775.83 = 775.83 : x
  2. Step 2: Convert to fraction form
    417.66/775.83 = 775.83/x
  3. Step 3: Cross multiply
    417.66x = 775.83 × 775.83
  4. Step 4: Simplify right side
    417.66x = 601,909.28
  5. Step 5: Solve for x
    x = 601,909.28/417.66
  6. Step 6: Final answer
    x = 1,441.16

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.