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Finding the Third Proportional to 155,961.50 and 247,940

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Solution

The third proportional to 155,961.50 and 247,940 is: 394,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,961.50 : 247,940 = 247,940 : x
  2. Step 2: Convert to fraction form
    155,961.50/247,940 = 247,940/x
  3. Step 3: Cross multiply
    155,961.50x = 247,940 × 247,940
  4. Step 4: Simplify right side
    155,961.50x = 61,474,243,600
  5. Step 5: Solve for x
    x = 61,474,243,600/155,961.50
  6. Step 6: Final answer
    x = 394,162.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.