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Finding the Third Proportional to 381.56 and 709.13

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Solution

The third proportional to 381.56 and 709.13 is: 1,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 709.13 = 709.13 : x
  2. Step 2: Convert to fraction form
    381.56/709.13 = 709.13/x
  3. Step 3: Cross multiply
    381.56x = 709.13 × 709.13
  4. Step 4: Simplify right side
    381.56x = 502,858.27
  5. Step 5: Solve for x
    x = 502,858.27/381.56
  6. Step 6: Final answer
    x = 1,317.89

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.