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Finding the Third Proportional to 268,243 and 558,515

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Solution

The third proportional to 268,243 and 558,515 is: 1,162,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,243 : 558,515 = 558,515 : x
  2. Step 2: Convert to fraction form
    268,243/558,515 = 558,515/x
  3. Step 3: Cross multiply
    268,243x = 558,515 × 558,515
  4. Step 4: Simplify right side
    268,243x = 311,939,005,225
  5. Step 5: Solve for x
    x = 311,939,005,225/268,243
  6. Step 6: Final answer
    x = 1,162,897.09

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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.