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Finding the Third Proportional to 146.16 and 315.09

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Solution

The third proportional to 146.16 and 315.09 is: 679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 315.09 = 315.09 : x
  2. Step 2: Convert to fraction form
    146.16/315.09 = 315.09/x
  3. Step 3: Cross multiply
    146.16x = 315.09 × 315.09
  4. Step 4: Simplify right side
    146.16x = 99,284.07
  5. Step 5: Solve for x
    x = 99,284.07/146.16
  6. Step 6: Final answer
    x = 679.30

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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.