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Finding the Third Proportional to 276,212 and 418,052

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Solution

The third proportional to 276,212 and 418,052 is: 632,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,212 : 418,052 = 418,052 : x
  2. Step 2: Convert to fraction form
    276,212/418,052 = 418,052/x
  3. Step 3: Cross multiply
    276,212x = 418,052 × 418,052
  4. Step 4: Simplify right side
    276,212x = 174,767,474,704
  5. Step 5: Solve for x
    x = 174,767,474,704/276,212
  6. Step 6: Final answer
    x = 632,729.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.