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Finding the Third Proportional to 99,879 and 214,580

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Solution

The third proportional to 99,879 and 214,580 is: 461,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,879 : 214,580 = 214,580 : x
  2. Step 2: Convert to fraction form
    99,879/214,580 = 214,580/x
  3. Step 3: Cross multiply
    99,879x = 214,580 × 214,580
  4. Step 4: Simplify right side
    99,879x = 46,044,576,400
  5. Step 5: Solve for x
    x = 46,044,576,400/99,879
  6. Step 6: Final answer
    x = 461,003.58

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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.