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Finding the Third Proportional to 268,314 and 553,908

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Solution

The third proportional to 268,314 and 553,908 is: 1,143,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,314 : 553,908 = 553,908 : x
  2. Step 2: Convert to fraction form
    268,314/553,908 = 553,908/x
  3. Step 3: Cross multiply
    268,314x = 553,908 × 553,908
  4. Step 4: Simplify right side
    268,314x = 306,814,072,464
  5. Step 5: Solve for x
    x = 306,814,072,464/268,314
  6. Step 6: Final answer
    x = 1,143,488.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.