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Finding the Third Proportional to 99,630 and 194,217.75

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Solution

The third proportional to 99,630 and 194,217.75 is: 378,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,630 : 194,217.75 = 194,217.75 : x
  2. Step 2: Convert to fraction form
    99,630/194,217.75 = 194,217.75/x
  3. Step 3: Cross multiply
    99,630x = 194,217.75 × 194,217.75
  4. Step 4: Simplify right side
    99,630x = 37,720,534,415.06
  5. Step 5: Solve for x
    x = 37,720,534,415.06/99,630
  6. Step 6: Final answer
    x = 378,606.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.