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Finding the Third Proportional to 421,298 and 935,908

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Solution

The third proportional to 421,298 and 935,908 is: 2,079,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,298 : 935,908 = 935,908 : x
  2. Step 2: Convert to fraction form
    421,298/935,908 = 935,908/x
  3. Step 3: Cross multiply
    421,298x = 935,908 × 935,908
  4. Step 4: Simplify right side
    421,298x = 875,923,784,464
  5. Step 5: Solve for x
    x = 875,923,784,464/421,298
  6. Step 6: Final answer
    x = 2,079,107.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.