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Finding the Third Proportional to 258,553.50 and 558,679.50

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Solution

The third proportional to 258,553.50 and 558,679.50 is: 1,207,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,553.50 : 558,679.50 = 558,679.50 : x
  2. Step 2: Convert to fraction form
    258,553.50/558,679.50 = 558,679.50/x
  3. Step 3: Cross multiply
    258,553.50x = 558,679.50 × 558,679.50
  4. Step 4: Simplify right side
    258,553.50x = 312,122,783,720.25
  5. Step 5: Solve for x
    x = 312,122,783,720.25/258,553.50
  6. Step 6: Final answer
    x = 1,207,188.39

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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.