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Finding the Third Proportional to 143.49 and 306.12

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Solution

The third proportional to 143.49 and 306.12 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.49 : 306.12 = 306.12 : x
  2. Step 2: Convert to fraction form
    143.49/306.12 = 306.12/x
  3. Step 3: Cross multiply
    143.49x = 306.12 × 306.12
  4. Step 4: Simplify right side
    143.49x = 93,711.32
  5. Step 5: Solve for x
    x = 93,711.32/143.49
  6. Step 6: Final answer
    x = 653.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.