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Finding the Third Proportional to 47.67 and 64.76

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Solution

The third proportional to 47.67 and 64.76 is: 87.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.67 : 64.76 = 64.76 : x
  2. Step 2: Convert to fraction form
    47.67/64.76 = 64.76/x
  3. Step 3: Cross multiply
    47.67x = 64.76 × 64.76
  4. Step 4: Simplify right side
    47.67x = 4,193.57
  5. Step 5: Solve for x
    x = 4,193.57/47.67
  6. Step 6: Final answer
    x = 87.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.