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Finding the Third Proportional to 64.97 and 137.86

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Solution

The third proportional to 64.97 and 137.86 is: 292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 137.86 = 137.86 : x
  2. Step 2: Convert to fraction form
    64.97/137.86 = 137.86/x
  3. Step 3: Cross multiply
    64.97x = 137.86 × 137.86
  4. Step 4: Simplify right side
    64.97x = 19,005.21
  5. Step 5: Solve for x
    x = 19,005.21/64.97
  6. Step 6: Final answer
    x = 292.53

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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.