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Finding the Third Proportional to 323,767 and 485,648

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Solution

The third proportional to 323,767 and 485,648 is: 728,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,767 : 485,648 = 485,648 : x
  2. Step 2: Convert to fraction form
    323,767/485,648 = 485,648/x
  3. Step 3: Cross multiply
    323,767x = 485,648 × 485,648
  4. Step 4: Simplify right side
    323,767x = 235,853,979,904
  5. Step 5: Solve for x
    x = 235,853,979,904/323,767
  6. Step 6: Final answer
    x = 728,468.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.