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Finding the Third Proportional to 64.07 and 137.76

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Solution

The third proportional to 64.07 and 137.76 is: 296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.07 : 137.76 = 137.76 : x
  2. Step 2: Convert to fraction form
    64.07/137.76 = 137.76/x
  3. Step 3: Cross multiply
    64.07x = 137.76 × 137.76
  4. Step 4: Simplify right side
    64.07x = 18,976.54
  5. Step 5: Solve for x
    x = 18,976.54/64.07
  6. Step 6: Final answer
    x = 296.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.