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Finding the Third Proportional to 64.75 and 151.19

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Solution

The third proportional to 64.75 and 151.19 is: 353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 151.19 = 151.19 : x
  2. Step 2: Convert to fraction form
    64.75/151.19 = 151.19/x
  3. Step 3: Cross multiply
    64.75x = 151.19 × 151.19
  4. Step 4: Simplify right side
    64.75x = 22,857.66
  5. Step 5: Solve for x
    x = 22,857.66/64.75
  6. Step 6: Final answer
    x = 353.01

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.