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Finding the Third Proportional to 258,542 and 558,595

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Solution

The third proportional to 258,542 and 558,595 is: 1,206,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,542 : 558,595 = 558,595 : x
  2. Step 2: Convert to fraction form
    258,542/558,595 = 558,595/x
  3. Step 3: Cross multiply
    258,542x = 558,595 × 558,595
  4. Step 4: Simplify right side
    258,542x = 312,028,374,025
  5. Step 5: Solve for x
    x = 312,028,374,025/258,542
  6. Step 6: Final answer
    x = 1,206,876.93

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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.