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Finding the Third Proportional to 268,210 and 558,464

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Solution

The third proportional to 268,210 and 558,464 is: 1,162,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,210 : 558,464 = 558,464 : x
  2. Step 2: Convert to fraction form
    268,210/558,464 = 558,464/x
  3. Step 3: Cross multiply
    268,210x = 558,464 × 558,464
  4. Step 4: Simplify right side
    268,210x = 311,882,039,296
  5. Step 5: Solve for x
    x = 311,882,039,296/268,210
  6. Step 6: Final answer
    x = 1,162,827.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.