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Finding the Third Proportional to 100,346 and 217,966

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Solution

The third proportional to 100,346 and 217,966 is: 473,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,346 : 217,966 = 217,966 : x
  2. Step 2: Convert to fraction form
    100,346/217,966 = 217,966/x
  3. Step 3: Cross multiply
    100,346x = 217,966 × 217,966
  4. Step 4: Simplify right side
    100,346x = 47,509,177,156
  5. Step 5: Solve for x
    x = 47,509,177,156/100,346
  6. Step 6: Final answer
    x = 473,453.62

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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.