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Finding the Third Proportional to 407,828 and 885,720

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Solution

The third proportional to 407,828 and 885,720 is: 1,923,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,828 : 885,720 = 885,720 : x
  2. Step 2: Convert to fraction form
    407,828/885,720 = 885,720/x
  3. Step 3: Cross multiply
    407,828x = 885,720 × 885,720
  4. Step 4: Simplify right side
    407,828x = 784,499,918,400
  5. Step 5: Solve for x
    x = 784,499,918,400/407,828
  6. Step 6: Final answer
    x = 1,923,604.85

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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.