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Finding the Third Proportional to 129,418 and 276,830

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Solution

The third proportional to 129,418 and 276,830 is: 592,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,418 : 276,830 = 276,830 : x
  2. Step 2: Convert to fraction form
    129,418/276,830 = 276,830/x
  3. Step 3: Cross multiply
    129,418x = 276,830 × 276,830
  4. Step 4: Simplify right side
    129,418x = 76,634,848,900
  5. Step 5: Solve for x
    x = 76,634,848,900/129,418
  6. Step 6: Final answer
    x = 592,149.85

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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.