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Finding the Third Proportional to 140.53 and 306.28

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Solution

The third proportional to 140.53 and 306.28 is: 667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.53 : 306.28 = 306.28 : x
  2. Step 2: Convert to fraction form
    140.53/306.28 = 306.28/x
  3. Step 3: Cross multiply
    140.53x = 306.28 × 306.28
  4. Step 4: Simplify right side
    140.53x = 93,808.20
  5. Step 5: Solve for x
    x = 93,808.20/140.53
  6. Step 6: Final answer
    x = 667.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.