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Finding the Third Proportional to 247,738 and 542,942

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Solution

The third proportional to 247,738 and 542,942 is: 1,189,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,738 : 542,942 = 542,942 : x
  2. Step 2: Convert to fraction form
    247,738/542,942 = 542,942/x
  3. Step 3: Cross multiply
    247,738x = 542,942 × 542,942
  4. Step 4: Simplify right side
    247,738x = 294,786,015,364
  5. Step 5: Solve for x
    x = 294,786,015,364/247,738
  6. Step 6: Final answer
    x = 1,189,910.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.