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Finding the Third Proportional to 555,410 and 1,150,204

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Solution

The third proportional to 555,410 and 1,150,204 is: 2,381,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,410 : 1,150,204 = 1,150,204 : x
  2. Step 2: Convert to fraction form
    555,410/1,150,204 = 1,150,204/x
  3. Step 3: Cross multiply
    555,410x = 1,150,204 × 1,150,204
  4. Step 4: Simplify right side
    555,410x = 1,322,969,241,616
  5. Step 5: Solve for x
    x = 1,322,969,241,616/555,410
  6. Step 6: Final answer
    x = 2,381,968.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.