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Finding the Third Proportional to 27.03 and 38.74

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Solution

The third proportional to 27.03 and 38.74 is: 55.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.03 : 38.74 = 38.74 : x
  2. Step 2: Convert to fraction form
    27.03/38.74 = 38.74/x
  3. Step 3: Cross multiply
    27.03x = 38.74 × 38.74
  4. Step 4: Simplify right side
    27.03x = 1,501.07
  5. Step 5: Solve for x
    x = 1,501.07/27.03
  6. Step 6: Final answer
    x = 55.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.