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Finding the Third Proportional to 257,622 and 558,144

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Solution

The third proportional to 257,622 and 558,144 is: 1,209,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,622 : 558,144 = 558,144 : x
  2. Step 2: Convert to fraction form
    257,622/558,144 = 558,144/x
  3. Step 3: Cross multiply
    257,622x = 558,144 × 558,144
  4. Step 4: Simplify right side
    257,622x = 311,524,724,736
  5. Step 5: Solve for x
    x = 311,524,724,736/257,622
  6. Step 6: Final answer
    x = 1,209,231.84

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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.