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Finding the Third Proportional to 426,496 and 905,472

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Solution

The third proportional to 426,496 and 905,472 is: 1,922,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,496 : 905,472 = 905,472 : x
  2. Step 2: Convert to fraction form
    426,496/905,472 = 905,472/x
  3. Step 3: Cross multiply
    426,496x = 905,472 × 905,472
  4. Step 4: Simplify right side
    426,496x = 819,879,542,784
  5. Step 5: Solve for x
    x = 819,879,542,784/426,496
  6. Step 6: Final answer
    x = 1,922,361.62

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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.