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Finding the Third Proportional to 155,188 and 247,949

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Solution

The third proportional to 155,188 and 247,949 is: 396,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,188 : 247,949 = 247,949 : x
  2. Step 2: Convert to fraction form
    155,188/247,949 = 247,949/x
  3. Step 3: Cross multiply
    155,188x = 247,949 × 247,949
  4. Step 4: Simplify right side
    155,188x = 61,478,706,601
  5. Step 5: Solve for x
    x = 61,478,706,601/155,188
  6. Step 6: Final answer
    x = 396,156.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.