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Finding the Third Proportional to 136.45 and 322.02

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Solution

The third proportional to 136.45 and 322.02 is: 759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.45 : 322.02 = 322.02 : x
  2. Step 2: Convert to fraction form
    136.45/322.02 = 322.02/x
  3. Step 3: Cross multiply
    136.45x = 322.02 × 322.02
  4. Step 4: Simplify right side
    136.45x = 103,698.47
  5. Step 5: Solve for x
    x = 103,698.47/136.45
  6. Step 6: Final answer
    x = 759.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.