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Finding the Third Proportional to 27.45 and 63.47

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Solution

The third proportional to 27.45 and 63.47 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.45 : 63.47 = 63.47 : x
  2. Step 2: Convert to fraction form
    27.45/63.47 = 63.47/x
  3. Step 3: Cross multiply
    27.45x = 63.47 × 63.47
  4. Step 4: Simplify right side
    27.45x = 4,028.28
  5. Step 5: Solve for x
    x = 4,028.28/27.45
  6. Step 6: Final answer
    x = 146.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.