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Finding the Third Proportional to 146.09 and 315.11

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Solution

The third proportional to 146.09 and 315.11 is: 679.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.09 : 315.11 = 315.11 : x
  2. Step 2: Convert to fraction form
    146.09/315.11 = 315.11/x
  3. Step 3: Cross multiply
    146.09x = 315.11 × 315.11
  4. Step 4: Simplify right side
    146.09x = 99,294.92
  5. Step 5: Solve for x
    x = 99,294.92/146.09
  6. Step 6: Final answer
    x = 679.68

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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.