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Finding the Third Proportional to 276,102 and 418,311

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Solution

The third proportional to 276,102 and 418,311 is: 633,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,102 : 418,311 = 418,311 : x
  2. Step 2: Convert to fraction form
    276,102/418,311 = 418,311/x
  3. Step 3: Cross multiply
    276,102x = 418,311 × 418,311
  4. Step 4: Simplify right side
    276,102x = 174,984,092,721
  5. Step 5: Solve for x
    x = 174,984,092,721/276,102
  6. Step 6: Final answer
    x = 633,766.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.