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Finding the Third Proportional to 64.07 and 138.11

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Solution

The third proportional to 64.07 and 138.11 is: 297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 138.11 = 138.11 : x
  2. Step 2: Convert to fraction form
    64.07/138.11 = 138.11/x
  3. Step 3: Cross multiply
    64.07x = 138.11 × 138.11
  4. Step 4: Simplify right side
    64.07x = 19,074.74
  5. Step 5: Solve for x
    x = 19,074.74/64.07
  6. Step 6: Final answer
    x = 297.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.