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Finding the Third Proportional to 194,510 and 422,217

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Solution

The third proportional to 194,510 and 422,217 is: 916,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,510 : 422,217 = 422,217 : x
  2. Step 2: Convert to fraction form
    194,510/422,217 = 422,217/x
  3. Step 3: Cross multiply
    194,510x = 422,217 × 422,217
  4. Step 4: Simplify right side
    194,510x = 178,267,195,089
  5. Step 5: Solve for x
    x = 178,267,195,089/194,510
  6. Step 6: Final answer
    x = 916,493.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.