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Finding the Third Proportional to 64.88 and 133.69

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Solution

The third proportional to 64.88 and 133.69 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.88 : 133.69 = 133.69 : x
  2. Step 2: Convert to fraction form
    64.88/133.69 = 133.69/x
  3. Step 3: Cross multiply
    64.88x = 133.69 × 133.69
  4. Step 4: Simplify right side
    64.88x = 17,872.35
  5. Step 5: Solve for x
    x = 17,872.35/64.88
  6. Step 6: Final answer
    x = 275.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.