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Finding the Third Proportional to 208,144.50 and 451,279.50

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Solution

The third proportional to 208,144.50 and 451,279.50 is: 978,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.50 : 451,279.50 = 451,279.50 : x
  2. Step 2: Convert to fraction form
    208,144.50/451,279.50 = 451,279.50/x
  3. Step 3: Cross multiply
    208,144.50x = 451,279.50 × 451,279.50
  4. Step 4: Simplify right side
    208,144.50x = 203,653,187,120.25
  5. Step 5: Solve for x
    x = 203,653,187,120.25/208,144.50
  6. Step 6: Final answer
    x = 978,422.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.