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Finding the Third Proportional to 427.78 and 1,001.11

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Solution

The third proportional to 427.78 and 1,001.11 is: 2,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 1,001.11 = 1,001.11 : x
  2. Step 2: Convert to fraction form
    427.78/1,001.11 = 1,001.11/x
  3. Step 3: Cross multiply
    427.78x = 1,001.11 × 1,001.11
  4. Step 4: Simplify right side
    427.78x = 1,002,219.98
  5. Step 5: Solve for x
    x = 1,002,219.98/427.78
  6. Step 6: Final answer
    x = 2,342.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.