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Finding the Third Proportional to 99,876 and 213,967

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Solution

The third proportional to 99,876 and 213,967 is: 458,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876 : 213,967 = 213,967 : x
  2. Step 2: Convert to fraction form
    99,876/213,967 = 213,967/x
  3. Step 3: Cross multiply
    99,876x = 213,967 × 213,967
  4. Step 4: Simplify right side
    99,876x = 45,781,877,089
  5. Step 5: Solve for x
    x = 45,781,877,089/99,876
  6. Step 6: Final answer
    x = 458,387.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.