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Finding the Third Proportional to 146.97 and 317.14

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Solution

The third proportional to 146.97 and 317.14 is: 684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.97 : 317.14 = 317.14 : x
  2. Step 2: Convert to fraction form
    146.97/317.14 = 317.14/x
  3. Step 3: Cross multiply
    146.97x = 317.14 × 317.14
  4. Step 4: Simplify right side
    146.97x = 100,580.65
  5. Step 5: Solve for x
    x = 100,580.65/146.97
  6. Step 6: Final answer
    x = 684.36

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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.