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Finding the Third Proportional to 47.51 and 80.76

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Solution

The third proportional to 47.51 and 80.76 is: 137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.51 : 80.76 = 80.76 : x
  2. Step 2: Convert to fraction form
    47.51/80.76 = 80.76/x
  3. Step 3: Cross multiply
    47.51x = 80.76 × 80.76
  4. Step 4: Simplify right side
    47.51x = 6,522.35
  5. Step 5: Solve for x
    x = 6,522.35/47.51
  6. Step 6: Final answer
    x = 137.29

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.