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Finding the Third Proportional to 258,546 and 558,600

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Solution

The third proportional to 258,546 and 558,600 is: 1,206,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,546 : 558,600 = 558,600 : x
  2. Step 2: Convert to fraction form
    258,546/558,600 = 558,600/x
  3. Step 3: Cross multiply
    258,546x = 558,600 × 558,600
  4. Step 4: Simplify right side
    258,546x = 312,033,960,000
  5. Step 5: Solve for x
    x = 312,033,960,000/258,546
  6. Step 6: Final answer
    x = 1,206,879.86

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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.