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Finding the Third Proportional to 426,467 and 905,422

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Solution

The third proportional to 426,467 and 905,422 is: 1,922,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,467 : 905,422 = 905,422 : x
  2. Step 2: Convert to fraction form
    426,467/905,422 = 905,422/x
  3. Step 3: Cross multiply
    426,467x = 905,422 × 905,422
  4. Step 4: Simplify right side
    426,467x = 819,788,998,084
  5. Step 5: Solve for x
    x = 819,788,998,084/426,467
  6. Step 6: Final answer
    x = 1,922,280.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.