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Finding the Third Proportional to 136.97 and 289.90

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Solution

The third proportional to 136.97 and 289.90 is: 613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.97 : 289.90 = 289.90 : x
  2. Step 2: Convert to fraction form
    136.97/289.90 = 289.90/x
  3. Step 3: Cross multiply
    136.97x = 289.90 × 289.90
  4. Step 4: Simplify right side
    136.97x = 84,041.10
  5. Step 5: Solve for x
    x = 84,041.10/136.97
  6. Step 6: Final answer
    x = 613.58

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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.