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Finding the Third Proportional to 47.74 and 73.56

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Solution

The third proportional to 47.74 and 73.56 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.74 : 73.56 = 73.56 : x
  2. Step 2: Convert to fraction form
    47.74/73.56 = 73.56/x
  3. Step 3: Cross multiply
    47.74x = 73.56 × 73.56
  4. Step 4: Simplify right side
    47.74x = 5,411.73
  5. Step 5: Solve for x
    x = 5,411.73/47.74
  6. Step 6: Final answer
    x = 113.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.