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Finding the Third Proportional to 203,278 and 445,814

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Solution

The third proportional to 203,278 and 445,814 is: 977,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,278 : 445,814 = 445,814 : x
  2. Step 2: Convert to fraction form
    203,278/445,814 = 445,814/x
  3. Step 3: Cross multiply
    203,278x = 445,814 × 445,814
  4. Step 4: Simplify right side
    203,278x = 198,750,122,596
  5. Step 5: Solve for x
    x = 198,750,122,596/203,278
  6. Step 6: Final answer
    x = 977,725.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.