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Finding the Third Proportional to 577.27 and 1,174.78

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Solution

The third proportional to 577.27 and 1,174.78 is: 2,390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.27 : 1,174.78 = 1,174.78 : x
  2. Step 2: Convert to fraction form
    577.27/1,174.78 = 1,174.78/x
  3. Step 3: Cross multiply
    577.27x = 1,174.78 × 1,174.78
  4. Step 4: Simplify right side
    577.27x = 1,380,110.99
  5. Step 5: Solve for x
    x = 1,380,110.99/577.27
  6. Step 6: Final answer
    x = 2,390.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.