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Finding the Third Proportional to 268,944 and 579,381

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Solution

The third proportional to 268,944 and 579,381 is: 1,248,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,944 : 579,381 = 579,381 : x
  2. Step 2: Convert to fraction form
    268,944/579,381 = 579,381/x
  3. Step 3: Cross multiply
    268,944x = 579,381 × 579,381
  4. Step 4: Simplify right side
    268,944x = 335,682,343,161
  5. Step 5: Solve for x
    x = 335,682,343,161/268,944
  6. Step 6: Final answer
    x = 1,248,149.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.