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Finding the Third Proportional to 558,930 and 1,212,381

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Solution

The third proportional to 558,930 and 1,212,381 is: 2,629,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,930 : 1,212,381 = 1,212,381 : x
  2. Step 2: Convert to fraction form
    558,930/1,212,381 = 1,212,381/x
  3. Step 3: Cross multiply
    558,930x = 1,212,381 × 1,212,381
  4. Step 4: Simplify right side
    558,930x = 1,469,867,689,161
  5. Step 5: Solve for x
    x = 1,469,867,689,161/558,930
  6. Step 6: Final answer
    x = 2,629,788.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.