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Finding the Third Proportional to 115.55 and 247.27

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Solution

The third proportional to 115.55 and 247.27 is: 529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.55 : 247.27 = 247.27 : x
  2. Step 2: Convert to fraction form
    115.55/247.27 = 247.27/x
  3. Step 3: Cross multiply
    115.55x = 247.27 × 247.27
  4. Step 4: Simplify right side
    115.55x = 61,140.29
  5. Step 5: Solve for x
    x = 61,140.29/115.55
  6. Step 6: Final answer
    x = 529.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.