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Finding the Third Proportional to 407,956 and 587,578

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Solution

The third proportional to 407,956 and 587,578 is: 846,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,956 : 587,578 = 587,578 : x
  2. Step 2: Convert to fraction form
    407,956/587,578 = 587,578/x
  3. Step 3: Cross multiply
    407,956x = 587,578 × 587,578
  4. Step 4: Simplify right side
    407,956x = 345,247,906,084
  5. Step 5: Solve for x
    x = 345,247,906,084/407,956
  6. Step 6: Final answer
    x = 846,287.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.