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Finding the Third Proportional to 268,947 and 579,388

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Solution

The third proportional to 268,947 and 579,388 is: 1,248,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,947 : 579,388 = 579,388 : x
  2. Step 2: Convert to fraction form
    268,947/579,388 = 579,388/x
  3. Step 3: Cross multiply
    268,947x = 579,388 × 579,388
  4. Step 4: Simplify right side
    268,947x = 335,690,454,544
  5. Step 5: Solve for x
    x = 335,690,454,544/268,947
  6. Step 6: Final answer
    x = 1,248,165.83

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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.