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Finding the Third Proportional to 732.80 and 1,278.07

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Solution

The third proportional to 732.80 and 1,278.07 is: 2,229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.80 : 1,278.07 = 1,278.07 : x
  2. Step 2: Convert to fraction form
    732.80/1,278.07 = 1,278.07/x
  3. Step 3: Cross multiply
    732.80x = 1,278.07 × 1,278.07
  4. Step 4: Simplify right side
    732.80x = 1,633,463.72
  5. Step 5: Solve for x
    x = 1,633,463.72/732.80
  6. Step 6: Final answer
    x = 2,229.08

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.