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Finding the Third Proportional to 281,709 and 422,478

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Solution

The third proportional to 281,709 and 422,478 is: 633,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,709 : 422,478 = 422,478 : x
  2. Step 2: Convert to fraction form
    281,709/422,478 = 422,478/x
  3. Step 3: Cross multiply
    281,709x = 422,478 × 422,478
  4. Step 4: Simplify right side
    281,709x = 178,487,660,484
  5. Step 5: Solve for x
    x = 178,487,660,484/281,709
  6. Step 6: Final answer
    x = 633,588.78

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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.