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Finding the Third Proportional to 99,877 and 213,970

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Solution

The third proportional to 99,877 and 213,970 is: 458,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,877 : 213,970 = 213,970 : x
  2. Step 2: Convert to fraction form
    99,877/213,970 = 213,970/x
  3. Step 3: Cross multiply
    99,877x = 213,970 × 213,970
  4. Step 4: Simplify right side
    99,877x = 45,783,160,900
  5. Step 5: Solve for x
    x = 45,783,160,900/99,877
  6. Step 6: Final answer
    x = 458,395.44

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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.