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Finding the Third Proportional to 766.88 and 1,663.13

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Solution

The third proportional to 766.88 and 1,663.13 is: 3,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.88 : 1,663.13 = 1,663.13 : x
  2. Step 2: Convert to fraction form
    766.88/1,663.13 = 1,663.13/x
  3. Step 3: Cross multiply
    766.88x = 1,663.13 × 1,663.13
  4. Step 4: Simplify right side
    766.88x = 2,765,984.77
  5. Step 5: Solve for x
    x = 2,765,984.77/766.88
  6. Step 6: Final answer
    x = 3,606.83

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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.