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Finding the Third Proportional to 84,225 and 126,207

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Solution

The third proportional to 84,225 and 126,207 is: 189,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,225 : 126,207 = 126,207 : x
  2. Step 2: Convert to fraction form
    84,225/126,207 = 126,207/x
  3. Step 3: Cross multiply
    84,225x = 126,207 × 126,207
  4. Step 4: Simplify right side
    84,225x = 15,928,206,849
  5. Step 5: Solve for x
    x = 15,928,206,849/84,225
  6. Step 6: Final answer
    x = 189,114.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.