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Finding the Third Proportional to 602.78 and 1,320.97

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Solution

The third proportional to 602.78 and 1,320.97 is: 2,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.78 : 1,320.97 = 1,320.97 : x
  2. Step 2: Convert to fraction form
    602.78/1,320.97 = 1,320.97/x
  3. Step 3: Cross multiply
    602.78x = 1,320.97 × 1,320.97
  4. Step 4: Simplify right side
    602.78x = 1,744,958.44
  5. Step 5: Solve for x
    x = 1,744,958.44/602.78
  6. Step 6: Final answer
    x = 2,894.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.