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Finding the Third Proportional to 146.94 and 215.19

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Solution

The third proportional to 146.94 and 215.19 is: 315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 215.19 = 215.19 : x
  2. Step 2: Convert to fraction form
    146.94/215.19 = 215.19/x
  3. Step 3: Cross multiply
    146.94x = 215.19 × 215.19
  4. Step 4: Simplify right side
    146.94x = 46,307.90
  5. Step 5: Solve for x
    x = 46,307.90/146.94
  6. Step 6: Final answer
    x = 315.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.