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Finding the Third Proportional to 258,664 and 558,104

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Solution

The third proportional to 258,664 and 558,104 is: 1,204,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,664 : 558,104 = 558,104 : x
  2. Step 2: Convert to fraction form
    258,664/558,104 = 558,104/x
  3. Step 3: Cross multiply
    258,664x = 558,104 × 558,104
  4. Step 4: Simplify right side
    258,664x = 311,480,074,816
  5. Step 5: Solve for x
    x = 311,480,074,816/258,664
  6. Step 6: Final answer
    x = 1,204,187.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.