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Finding the Third Proportional to 140.96 and 304.34

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Solution

The third proportional to 140.96 and 304.34 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.96 : 304.34 = 304.34 : x
  2. Step 2: Convert to fraction form
    140.96/304.34 = 304.34/x
  3. Step 3: Cross multiply
    140.96x = 304.34 × 304.34
  4. Step 4: Simplify right side
    140.96x = 92,624.82
  5. Step 5: Solve for x
    x = 92,624.82/140.96
  6. Step 6: Final answer
    x = 657.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.