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Finding the Third Proportional to 140.84 and 302.49

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Solution

The third proportional to 140.84 and 302.49 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.84 : 302.49 = 302.49 : x
  2. Step 2: Convert to fraction form
    140.84/302.49 = 302.49/x
  3. Step 3: Cross multiply
    140.84x = 302.49 × 302.49
  4. Step 4: Simplify right side
    140.84x = 91,500.34
  5. Step 5: Solve for x
    x = 91,500.34/140.84
  6. Step 6: Final answer
    x = 649.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.