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Finding the Third Proportional to 407,952 and 888,489

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Solution

The third proportional to 407,952 and 888,489 is: 1,935,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,952 : 888,489 = 888,489 : x
  2. Step 2: Convert to fraction form
    407,952/888,489 = 888,489/x
  3. Step 3: Cross multiply
    407,952x = 888,489 × 888,489
  4. Step 4: Simplify right side
    407,952x = 789,412,703,121
  5. Step 5: Solve for x
    x = 789,412,703,121/407,952
  6. Step 6: Final answer
    x = 1,935,062.71

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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.