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Finding the Third Proportional to 766.69 and 1,665.84

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Solution

The third proportional to 766.69 and 1,665.84 is: 3,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.69 : 1,665.84 = 1,665.84 : x
  2. Step 2: Convert to fraction form
    766.69/1,665.84 = 1,665.84/x
  3. Step 3: Cross multiply
    766.69x = 1,665.84 × 1,665.84
  4. Step 4: Simplify right side
    766.69x = 2,775,035.40
  5. Step 5: Solve for x
    x = 2,775,035.40/766.69
  6. Step 6: Final answer
    x = 3,619.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.