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Finding the Third Proportional to 398.67 and 882.77

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Solution

The third proportional to 398.67 and 882.77 is: 1,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 882.77 = 882.77 : x
  2. Step 2: Convert to fraction form
    398.67/882.77 = 882.77/x
  3. Step 3: Cross multiply
    398.67x = 882.77 × 882.77
  4. Step 4: Simplify right side
    398.67x = 779,288.94
  5. Step 5: Solve for x
    x = 779,288.94/398.67
  6. Step 6: Final answer
    x = 1,954.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.