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Finding the Third Proportional to 742.88 and 1,320.38

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Solution

The third proportional to 742.88 and 1,320.38 is: 2,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.88 : 1,320.38 = 1,320.38 : x
  2. Step 2: Convert to fraction form
    742.88/1,320.38 = 1,320.38/x
  3. Step 3: Cross multiply
    742.88x = 1,320.38 × 1,320.38
  4. Step 4: Simplify right side
    742.88x = 1,743,390.14
  5. Step 5: Solve for x
    x = 1,743,390.14/742.88
  6. Step 6: Final answer
    x = 2,346.81

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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.