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Finding the Third Proportional to 194,468 and 422,136

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Solution

The third proportional to 194,468 and 422,136 is: 916,339.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,468 : 422,136 = 422,136 : x
  2. Step 2: Convert to fraction form
    194,468/422,136 = 422,136/x
  3. Step 3: Cross multiply
    194,468x = 422,136 × 422,136
  4. Step 4: Simplify right side
    194,468x = 178,198,802,496
  5. Step 5: Solve for x
    x = 178,198,802,496/194,468
  6. Step 6: Final answer
    x = 916,339.98

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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.