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Finding the Third Proportional to 65.47 and 136.37

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Solution

The third proportional to 65.47 and 136.37 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.47 : 136.37 = 136.37 : x
  2. Step 2: Convert to fraction form
    65.47/136.37 = 136.37/x
  3. Step 3: Cross multiply
    65.47x = 136.37 × 136.37
  4. Step 4: Simplify right side
    65.47x = 18,597.08
  5. Step 5: Solve for x
    x = 18,597.08/65.47
  6. Step 6: Final answer
    x = 284.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.