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Finding the Third Proportional to 34.07 and 51.76

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Solution

The third proportional to 34.07 and 51.76 is: 78.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.07 : 51.76 = 51.76 : x
  2. Step 2: Convert to fraction form
    34.07/51.76 = 51.76/x
  3. Step 3: Cross multiply
    34.07x = 51.76 × 51.76
  4. Step 4: Simplify right side
    34.07x = 2,679.28
  5. Step 5: Solve for x
    x = 2,679.28/34.07
  6. Step 6: Final answer
    x = 78.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.