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Finding the Third Proportional to 193,802 and 418,156

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Solution

The third proportional to 193,802 and 418,156 is: 902,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,802 : 418,156 = 418,156 : x
  2. Step 2: Convert to fraction form
    193,802/418,156 = 418,156/x
  3. Step 3: Cross multiply
    193,802x = 418,156 × 418,156
  4. Step 4: Simplify right side
    193,802x = 174,854,440,336
  5. Step 5: Solve for x
    x = 174,854,440,336/193,802
  6. Step 6: Final answer
    x = 902,232.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.