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Finding the Third Proportional to 64.07 and 136.15

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Solution

The third proportional to 64.07 and 136.15 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 136.15 = 136.15 : x
  2. Step 2: Convert to fraction form
    64.07/136.15 = 136.15/x
  3. Step 3: Cross multiply
    64.07x = 136.15 × 136.15
  4. Step 4: Simplify right side
    64.07x = 18,537.79
  5. Step 5: Solve for x
    x = 18,537.79/64.07
  6. Step 6: Final answer
    x = 289.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.