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Finding the Third Proportional to 129,436 and 276,868

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Solution

The third proportional to 129,436 and 276,868 is: 592,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,436 : 276,868 = 276,868 : x
  2. Step 2: Convert to fraction form
    129,436/276,868 = 276,868/x
  3. Step 3: Cross multiply
    129,436x = 276,868 × 276,868
  4. Step 4: Simplify right side
    129,436x = 76,655,889,424
  5. Step 5: Solve for x
    x = 76,655,889,424/129,436
  6. Step 6: Final answer
    x = 592,230.06

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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.