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Finding the Third Proportional to 89.70 and 195.06

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Solution

The third proportional to 89.70 and 195.06 is: 424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.70 : 195.06 = 195.06 : x
  2. Step 2: Convert to fraction form
    89.70/195.06 = 195.06/x
  3. Step 3: Cross multiply
    89.70x = 195.06 × 195.06
  4. Step 4: Simplify right side
    89.70x = 38,050.14
  5. Step 5: Solve for x
    x = 38,050.14/89.70
  6. Step 6: Final answer
    x = 424.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.