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Finding the Third Proportional to 99,920 and 214,663

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Solution

The third proportional to 99,920 and 214,663 is: 461,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,920 : 214,663 = 214,663 : x
  2. Step 2: Convert to fraction form
    99,920/214,663 = 214,663/x
  3. Step 3: Cross multiply
    99,920x = 214,663 × 214,663
  4. Step 4: Simplify right side
    99,920x = 46,080,203,569
  5. Step 5: Solve for x
    x = 46,080,203,569/99,920
  6. Step 6: Final answer
    x = 461,170.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.