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Finding the Third Proportional to 129,467 and 276,934

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Solution

The third proportional to 129,467 and 276,934 is: 592,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,467 : 276,934 = 276,934 : x
  2. Step 2: Convert to fraction form
    129,467/276,934 = 276,934/x
  3. Step 3: Cross multiply
    129,467x = 276,934 × 276,934
  4. Step 4: Simplify right side
    129,467x = 76,692,440,356
  5. Step 5: Solve for x
    x = 76,692,440,356/129,467
  6. Step 6: Final answer
    x = 592,370.57

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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.