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Finding the Third Proportional to 756.38 and 1,382.63

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Solution

The third proportional to 756.38 and 1,382.63 is: 2,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.38 : 1,382.63 = 1,382.63 : x
  2. Step 2: Convert to fraction form
    756.38/1,382.63 = 1,382.63/x
  3. Step 3: Cross multiply
    756.38x = 1,382.63 × 1,382.63
  4. Step 4: Simplify right side
    756.38x = 1,911,651.89
  5. Step 5: Solve for x
    x = 1,911,651.89/756.38
  6. Step 6: Final answer
    x = 2,527.39

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.