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Finding the Third Proportional to 257,134 and 558,116

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Solution

The third proportional to 257,134 and 558,116 is: 1,211,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,134 : 558,116 = 558,116 : x
  2. Step 2: Convert to fraction form
    257,134/558,116 = 558,116/x
  3. Step 3: Cross multiply
    257,134x = 558,116 × 558,116
  4. Step 4: Simplify right side
    257,134x = 311,493,469,456
  5. Step 5: Solve for x
    x = 311,493,469,456/257,134
  6. Step 6: Final answer
    x = 1,211,405.22

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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.