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Finding the Third Proportional to 136.78 and 283.03

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Solution

The third proportional to 136.78 and 283.03 is: 585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.78 : 283.03 = 283.03 : x
  2. Step 2: Convert to fraction form
    136.78/283.03 = 283.03/x
  3. Step 3: Cross multiply
    136.78x = 283.03 × 283.03
  4. Step 4: Simplify right side
    136.78x = 80,106.69
  5. Step 5: Solve for x
    x = 80,106.69/136.78
  6. Step 6: Final answer
    x = 585.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.