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Finding the Third Proportional to 64.50 and 137.63

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Solution

The third proportional to 64.50 and 137.63 is: 293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 137.63 = 137.63 : x
  2. Step 2: Convert to fraction form
    64.50/137.63 = 137.63/x
  3. Step 3: Cross multiply
    64.50x = 137.63 × 137.63
  4. Step 4: Simplify right side
    64.50x = 18,940.64
  5. Step 5: Solve for x
    x = 18,940.64/64.50
  6. Step 6: Final answer
    x = 293.65

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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.