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Finding the Third Proportional to 64.38 and 136.63

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Solution

The third proportional to 64.38 and 136.63 is: 289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.38 : 136.63 = 136.63 : x
  2. Step 2: Convert to fraction form
    64.38/136.63 = 136.63/x
  3. Step 3: Cross multiply
    64.38x = 136.63 × 136.63
  4. Step 4: Simplify right side
    64.38x = 18,666.39
  5. Step 5: Solve for x
    x = 18,666.39/64.38
  6. Step 6: Final answer
    x = 289.96

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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.