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Finding the Third Proportional to 407,932 and 587,544

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Solution

The third proportional to 407,932 and 587,544 is: 846,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,932 : 587,544 = 587,544 : x
  2. Step 2: Convert to fraction form
    407,932/587,544 = 587,544/x
  3. Step 3: Cross multiply
    407,932x = 587,544 × 587,544
  4. Step 4: Simplify right side
    407,932x = 345,207,951,936
  5. Step 5: Solve for x
    x = 345,207,951,936/407,932
  6. Step 6: Final answer
    x = 846,238.96

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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.