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Finding the Third Proportional to 140.24 and 200.74

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Solution

The third proportional to 140.24 and 200.74 is: 287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.24 : 200.74 = 200.74 : x
  2. Step 2: Convert to fraction form
    140.24/200.74 = 200.74/x
  3. Step 3: Cross multiply
    140.24x = 200.74 × 200.74
  4. Step 4: Simplify right side
    140.24x = 40,297.43
  5. Step 5: Solve for x
    x = 40,297.43/140.24
  6. Step 6: Final answer
    x = 287.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.