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Finding the Third Proportional to 155,185 and 208,542

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Solution

The third proportional to 155,185 and 208,542 is: 280,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,185 : 208,542 = 208,542 : x
  2. Step 2: Convert to fraction form
    155,185/208,542 = 208,542/x
  3. Step 3: Cross multiply
    155,185x = 208,542 × 208,542
  4. Step 4: Simplify right side
    155,185x = 43,489,765,764
  5. Step 5: Solve for x
    x = 43,489,765,764/155,185
  6. Step 6: Final answer
    x = 280,244.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.