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Finding the Third Proportional to 382.13 and 708.56

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Solution

The third proportional to 382.13 and 708.56 is: 1,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.13 : 708.56 = 708.56 : x
  2. Step 2: Convert to fraction form
    382.13/708.56 = 708.56/x
  3. Step 3: Cross multiply
    382.13x = 708.56 × 708.56
  4. Step 4: Simplify right side
    382.13x = 502,060.82
  5. Step 5: Solve for x
    x = 502,060.82/382.13
  6. Step 6: Final answer
    x = 1,313.87

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.