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Finding the Third Proportional to 193,704 and 421,718

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Solution

The third proportional to 193,704 and 421,718 is: 918,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,704 : 421,718 = 421,718 : x
  2. Step 2: Convert to fraction form
    193,704/421,718 = 421,718/x
  3. Step 3: Cross multiply
    193,704x = 421,718 × 421,718
  4. Step 4: Simplify right side
    193,704x = 177,846,071,524
  5. Step 5: Solve for x
    x = 177,846,071,524/193,704
  6. Step 6: Final answer
    x = 918,133.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.