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Finding the Third Proportional to 99,878 and 213,971

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Solution

The third proportional to 99,878 and 213,971 is: 458,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,878 : 213,971 = 213,971 : x
  2. Step 2: Convert to fraction form
    99,878/213,971 = 213,971/x
  3. Step 3: Cross multiply
    99,878x = 213,971 × 213,971
  4. Step 4: Simplify right side
    99,878x = 45,783,588,841
  5. Step 5: Solve for x
    x = 45,783,588,841/99,878
  6. Step 6: Final answer
    x = 458,395.13

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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.