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Finding the Third Proportional to 49.12 and 64.78

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Solution

The third proportional to 49.12 and 64.78 is: 85.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 64.78 = 64.78 : x
  2. Step 2: Convert to fraction form
    49.12/64.78 = 64.78/x
  3. Step 3: Cross multiply
    49.12x = 64.78 × 64.78
  4. Step 4: Simplify right side
    49.12x = 4,196.99
  5. Step 5: Solve for x
    x = 4,196.99/49.12
  6. Step 6: Final answer
    x = 85.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.