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Finding the Third Proportional to 64.37 and 137.29

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Solution

The third proportional to 64.37 and 137.29 is: 292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.37 : 137.29 = 137.29 : x
  2. Step 2: Convert to fraction form
    64.37/137.29 = 137.29/x
  3. Step 3: Cross multiply
    64.37x = 137.29 × 137.29
  4. Step 4: Simplify right side
    64.37x = 18,847.21
  5. Step 5: Solve for x
    x = 18,847.21/64.37
  6. Step 6: Final answer
    x = 292.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.