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Finding the Third Proportional to 269,209.50 and 422,370

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Solution

The third proportional to 269,209.50 and 422,370 is: 662,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,209.50 : 422,370 = 422,370 : x
  2. Step 2: Convert to fraction form
    269,209.50/422,370 = 422,370/x
  3. Step 3: Cross multiply
    269,209.50x = 422,370 × 422,370
  4. Step 4: Simplify right side
    269,209.50x = 178,396,416,900
  5. Step 5: Solve for x
    x = 178,396,416,900/269,209.50
  6. Step 6: Final answer
    x = 662,667.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.