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Finding the Third Proportional to 61,996 and 133,831

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Solution

The third proportional to 61,996 and 133,831 is: 288,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,996 : 133,831 = 133,831 : x
  2. Step 2: Convert to fraction form
    61,996/133,831 = 133,831/x
  3. Step 3: Cross multiply
    61,996x = 133,831 × 133,831
  4. Step 4: Simplify right side
    61,996x = 17,910,736,561
  5. Step 5: Solve for x
    x = 17,910,736,561/61,996
  6. Step 6: Final answer
    x = 288,901.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.