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Finding the Third Proportional to 407,021 and 886,356

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Solution

The third proportional to 407,021 and 886,356 is: 1,930,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,021 : 886,356 = 886,356 : x
  2. Step 2: Convert to fraction form
    407,021/886,356 = 886,356/x
  3. Step 3: Cross multiply
    407,021x = 886,356 × 886,356
  4. Step 4: Simplify right side
    407,021x = 785,626,958,736
  5. Step 5: Solve for x
    x = 785,626,958,736/407,021
  6. Step 6: Final answer
    x = 1,930,187.78

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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.