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Finding the Third Proportional to 222,074 and 316,503

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Solution

The third proportional to 222,074 and 316,503 is: 451,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,074 : 316,503 = 316,503 : x
  2. Step 2: Convert to fraction form
    222,074/316,503 = 316,503/x
  3. Step 3: Cross multiply
    222,074x = 316,503 × 316,503
  4. Step 4: Simplify right side
    222,074x = 100,174,149,009
  5. Step 5: Solve for x
    x = 100,174,149,009/222,074
  6. Step 6: Final answer
    x = 451,084.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.