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Finding the Third Proportional to 379.13 and 556.69

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Solution

The third proportional to 379.13 and 556.69 is: 817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.13 : 556.69 = 556.69 : x
  2. Step 2: Convert to fraction form
    379.13/556.69 = 556.69/x
  3. Step 3: Cross multiply
    379.13x = 556.69 × 556.69
  4. Step 4: Simplify right side
    379.13x = 309,900.97
  5. Step 5: Solve for x
    x = 309,900.97/379.13
  6. Step 6: Final answer
    x = 817.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.