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Finding the Third Proportional to 61,009 and 129,793

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Solution

The third proportional to 61,009 and 129,793 is: 276,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,009 : 129,793 = 129,793 : x
  2. Step 2: Convert to fraction form
    61,009/129,793 = 129,793/x
  3. Step 3: Cross multiply
    61,009x = 129,793 × 129,793
  4. Step 4: Simplify right side
    61,009x = 16,846,222,849
  5. Step 5: Solve for x
    x = 16,846,222,849/61,009
  6. Step 6: Final answer
    x = 276,126.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.