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Finding the Third Proportional to 99,881 and 214,585

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Solution

The third proportional to 99,881 and 214,585 is: 461,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,881 : 214,585 = 214,585 : x
  2. Step 2: Convert to fraction form
    99,881/214,585 = 214,585/x
  3. Step 3: Cross multiply
    99,881x = 214,585 × 214,585
  4. Step 4: Simplify right side
    99,881x = 46,046,722,225
  5. Step 5: Solve for x
    x = 46,046,722,225/99,881
  6. Step 6: Final answer
    x = 461,015.83

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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.