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Finding the Third Proportional to 49.64 and 66.80

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Solution

The third proportional to 49.64 and 66.80 is: 89.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.64 : 66.80 = 66.80 : x
  2. Step 2: Convert to fraction form
    49.64/66.80 = 66.80/x
  3. Step 3: Cross multiply
    49.64x = 66.80 × 66.80
  4. Step 4: Simplify right side
    49.64x = 4,461.82
  5. Step 5: Solve for x
    x = 4,461.82/49.64
  6. Step 6: Final answer
    x = 89.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.