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Finding the Third Proportional to 268,241 and 558,511

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Solution

The third proportional to 268,241 and 558,511 is: 1,162,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,241 : 558,511 = 558,511 : x
  2. Step 2: Convert to fraction form
    268,241/558,511 = 558,511/x
  3. Step 3: Cross multiply
    268,241x = 558,511 × 558,511
  4. Step 4: Simplify right side
    268,241x = 311,934,537,121
  5. Step 5: Solve for x
    x = 311,934,537,121/268,241
  6. Step 6: Final answer
    x = 1,162,889.11

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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.