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Finding the Third Proportional to 268,245 and 558,519

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Solution

The third proportional to 268,245 and 558,519 is: 1,162,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,245 : 558,519 = 558,519 : x
  2. Step 2: Convert to fraction form
    268,245/558,519 = 558,519/x
  3. Step 3: Cross multiply
    268,245x = 558,519 × 558,519
  4. Step 4: Simplify right side
    268,245x = 311,943,473,361
  5. Step 5: Solve for x
    x = 311,943,473,361/268,245
  6. Step 6: Final answer
    x = 1,162,905.08

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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.