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Finding the Third Proportional to 269,466.75 and 422,713.69

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Solution

The third proportional to 269,466.75 and 422,713.69 is: 663,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,466.75 : 422,713.69 = 422,713.69 : x
  2. Step 2: Convert to fraction form
    269,466.75/422,713.69 = 422,713.69/x
  3. Step 3: Cross multiply
    269,466.75x = 422,713.69 × 422,713.69
  4. Step 4: Simplify right side
    269,466.75x = 178,686,861,599.85
  5. Step 5: Solve for x
    x = 178,686,861,599.85/269,466.75
  6. Step 6: Final answer
    x = 663,112.84

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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.