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Finding the Third Proportional to 129,888 and 269,982

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Solution

The third proportional to 129,888 and 269,982 is: 561,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,888 : 269,982 = 269,982 : x
  2. Step 2: Convert to fraction form
    129,888/269,982 = 269,982/x
  3. Step 3: Cross multiply
    129,888x = 269,982 × 269,982
  4. Step 4: Simplify right side
    129,888x = 72,890,280,324
  5. Step 5: Solve for x
    x = 72,890,280,324/129,888
  6. Step 6: Final answer
    x = 561,177.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.