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Finding the Third Proportional to 64.78 and 137.48

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Solution

The third proportional to 64.78 and 137.48 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.78 : 137.48 = 137.48 : x
  2. Step 2: Convert to fraction form
    64.78/137.48 = 137.48/x
  3. Step 3: Cross multiply
    64.78x = 137.48 × 137.48
  4. Step 4: Simplify right side
    64.78x = 18,901.95
  5. Step 5: Solve for x
    x = 18,901.95/64.78
  6. Step 6: Final answer
    x = 291.78

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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.