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Finding the Third Proportional to 268,638 and 579,243

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Solution

The third proportional to 268,638 and 579,243 is: 1,248,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,638 : 579,243 = 579,243 : x
  2. Step 2: Convert to fraction form
    268,638/579,243 = 579,243/x
  3. Step 3: Cross multiply
    268,638x = 579,243 × 579,243
  4. Step 4: Simplify right side
    268,638x = 335,522,453,049
  5. Step 5: Solve for x
    x = 335,522,453,049/268,638
  6. Step 6: Final answer
    x = 1,248,976.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.