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Finding the Third Proportional to 407,980 and 587,704

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Solution

The third proportional to 407,980 and 587,704 is: 846,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,980 : 587,704 = 587,704 : x
  2. Step 2: Convert to fraction form
    407,980/587,704 = 587,704/x
  3. Step 3: Cross multiply
    407,980x = 587,704 × 587,704
  4. Step 4: Simplify right side
    407,980x = 345,395,991,616
  5. Step 5: Solve for x
    x = 345,395,991,616/407,980
  6. Step 6: Final answer
    x = 846,600.30

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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.