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Finding the Third Proportional to 409,387 and 888,355

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Solution

The third proportional to 409,387 and 888,355 is: 1,927,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,387 : 888,355 = 888,355 : x
  2. Step 2: Convert to fraction form
    409,387/888,355 = 888,355/x
  3. Step 3: Cross multiply
    409,387x = 888,355 × 888,355
  4. Step 4: Simplify right side
    409,387x = 789,174,606,025
  5. Step 5: Solve for x
    x = 789,174,606,025/409,387
  6. Step 6: Final answer
    x = 1,927,698.26

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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.