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Finding the Third Proportional to 276,110 and 418,324

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Solution

The third proportional to 276,110 and 418,324 is: 633,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,110 : 418,324 = 418,324 : x
  2. Step 2: Convert to fraction form
    276,110/418,324 = 418,324/x
  3. Step 3: Cross multiply
    276,110x = 418,324 × 418,324
  4. Step 4: Simplify right side
    276,110x = 174,994,968,976
  5. Step 5: Solve for x
    x = 174,994,968,976/276,110
  6. Step 6: Final answer
    x = 633,787.15

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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.