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Finding the Third Proportional to 129,046 and 269,916

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Solution

The third proportional to 129,046 and 269,916 is: 564,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,046 : 269,916 = 269,916 : x
  2. Step 2: Convert to fraction form
    129,046/269,916 = 269,916/x
  3. Step 3: Cross multiply
    129,046x = 269,916 × 269,916
  4. Step 4: Simplify right side
    129,046x = 72,854,647,056
  5. Step 5: Solve for x
    x = 72,854,647,056/129,046
  6. Step 6: Final answer
    x = 564,563.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.