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Finding the Third Proportional to 99,891 and 214,470

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Solution

The third proportional to 99,891 and 214,470 is: 460,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,891 : 214,470 = 214,470 : x
  2. Step 2: Convert to fraction form
    99,891/214,470 = 214,470/x
  3. Step 3: Cross multiply
    99,891x = 214,470 × 214,470
  4. Step 4: Simplify right side
    99,891x = 45,997,380,900
  5. Step 5: Solve for x
    x = 45,997,380,900/99,891
  6. Step 6: Final answer
    x = 460,475.73

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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.