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Finding the Third Proportional to 51.84 and 64.92

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Solution

The third proportional to 51.84 and 64.92 is: 81.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 64.92 = 64.92 : x
  2. Step 2: Convert to fraction form
    51.84/64.92 = 64.92/x
  3. Step 3: Cross multiply
    51.84x = 64.92 × 64.92
  4. Step 4: Simplify right side
    51.84x = 4,214.85
  5. Step 5: Solve for x
    x = 4,214.85/51.84
  6. Step 6: Final answer
    x = 81.30

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.