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Finding the Third Proportional to 129,820 and 276,380

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Solution

The third proportional to 129,820 and 276,380 is: 588,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,820 : 276,380 = 276,380 : x
  2. Step 2: Convert to fraction form
    129,820/276,380 = 276,380/x
  3. Step 3: Cross multiply
    129,820x = 276,380 × 276,380
  4. Step 4: Simplify right side
    129,820x = 76,385,904,400
  5. Step 5: Solve for x
    x = 76,385,904,400/129,820
  6. Step 6: Final answer
    x = 588,398.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.