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Finding the Third Proportional to 99,876 and 214,508

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Solution

The third proportional to 99,876 and 214,508 is: 460,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876 : 214,508 = 214,508 : x
  2. Step 2: Convert to fraction form
    99,876/214,508 = 214,508/x
  3. Step 3: Cross multiply
    99,876x = 214,508 × 214,508
  4. Step 4: Simplify right side
    99,876x = 46,013,682,064
  5. Step 5: Solve for x
    x = 46,013,682,064/99,876
  6. Step 6: Final answer
    x = 460,708.10

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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.