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Finding the Third Proportional to 407,118 and 577,872

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Solution

The third proportional to 407,118 and 577,872 is: 820,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,118 : 577,872 = 577,872 : x
  2. Step 2: Convert to fraction form
    407,118/577,872 = 577,872/x
  3. Step 3: Cross multiply
    407,118x = 577,872 × 577,872
  4. Step 4: Simplify right side
    407,118x = 333,936,048,384
  5. Step 5: Solve for x
    x = 333,936,048,384/407,118
  6. Step 6: Final answer
    x = 820,243.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.