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Finding the Third Proportional to 195.13 and 418.91

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Solution

The third proportional to 195.13 and 418.91 is: 899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.13 : 418.91 = 418.91 : x
  2. Step 2: Convert to fraction form
    195.13/418.91 = 418.91/x
  3. Step 3: Cross multiply
    195.13x = 418.91 × 418.91
  4. Step 4: Simplify right side
    195.13x = 175,482.45
  5. Step 5: Solve for x
    x = 175,482.45/195.13
  6. Step 6: Final answer
    x = 899.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.