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Finding the Third Proportional to 136.37 and 302.17

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Solution

The third proportional to 136.37 and 302.17 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.37 : 302.17 = 302.17 : x
  2. Step 2: Convert to fraction form
    136.37/302.17 = 302.17/x
  3. Step 3: Cross multiply
    136.37x = 302.17 × 302.17
  4. Step 4: Simplify right side
    136.37x = 91,305.48
  5. Step 5: Solve for x
    x = 91,305.48/136.37
  6. Step 6: Final answer
    x = 669.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.