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Finding the Third Proportional to 407,840 and 885,744

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Solution

The third proportional to 407,840 and 885,744 is: 1,923,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,840 : 885,744 = 885,744 : x
  2. Step 2: Convert to fraction form
    407,840/885,744 = 885,744/x
  3. Step 3: Cross multiply
    407,840x = 885,744 × 885,744
  4. Step 4: Simplify right side
    407,840x = 784,542,433,536
  5. Step 5: Solve for x
    x = 784,542,433,536/407,840
  6. Step 6: Final answer
    x = 1,923,652.49

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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.