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Finding the Third Proportional to 136.64 and 293.53

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Solution

The third proportional to 136.64 and 293.53 is: 630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.64 : 293.53 = 293.53 : x
  2. Step 2: Convert to fraction form
    136.64/293.53 = 293.53/x
  3. Step 3: Cross multiply
    136.64x = 293.53 × 293.53
  4. Step 4: Simplify right side
    136.64x = 86,160.59
  5. Step 5: Solve for x
    x = 86,160.59/136.64
  6. Step 6: Final answer
    x = 630.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.