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Finding the Third Proportional to 64.75 and 87.88

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Solution

The third proportional to 64.75 and 87.88 is: 119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 87.88 = 87.88 : x
  2. Step 2: Convert to fraction form
    64.75/87.88 = 87.88/x
  3. Step 3: Cross multiply
    64.75x = 87.88 × 87.88
  4. Step 4: Simplify right side
    64.75x = 7,722.02
  5. Step 5: Solve for x
    x = 7,722.02/64.75
  6. Step 6: Final answer
    x = 119.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.