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Finding the Third Proportional to 215,761 and 323,641

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Solution

The third proportional to 215,761 and 323,641 is: 485,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,761 : 323,641 = 323,641 : x
  2. Step 2: Convert to fraction form
    215,761/323,641 = 323,641/x
  3. Step 3: Cross multiply
    215,761x = 323,641 × 323,641
  4. Step 4: Simplify right side
    215,761x = 104,743,496,881
  5. Step 5: Solve for x
    x = 104,743,496,881/215,761
  6. Step 6: Final answer
    x = 485,460.75

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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.