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Finding the Third Proportional to 208,158 and 451,314

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Solution

The third proportional to 208,158 and 451,314 is: 978,508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,158 : 451,314 = 451,314 : x
  2. Step 2: Convert to fraction form
    208,158/451,314 = 451,314/x
  3. Step 3: Cross multiply
    208,158x = 451,314 × 451,314
  4. Step 4: Simplify right side
    208,158x = 203,684,326,596
  5. Step 5: Solve for x
    x = 203,684,326,596/208,158
  6. Step 6: Final answer
    x = 978,508.28

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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.