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Finding the Third Proportional to 195.12 and 288.98

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Solution

The third proportional to 195.12 and 288.98 is: 428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.12 : 288.98 = 288.98 : x
  2. Step 2: Convert to fraction form
    195.12/288.98 = 288.98/x
  3. Step 3: Cross multiply
    195.12x = 288.98 × 288.98
  4. Step 4: Simplify right side
    195.12x = 83,511.97
  5. Step 5: Solve for x
    x = 83,511.97/195.12
  6. Step 6: Final answer
    x = 428.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.