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Finding the Third Proportional to 222,121 and 316,567

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Solution

The third proportional to 222,121 and 316,567 is: 451,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,121 : 316,567 = 316,567 : x
  2. Step 2: Convert to fraction form
    222,121/316,567 = 316,567/x
  3. Step 3: Cross multiply
    222,121x = 316,567 × 316,567
  4. Step 4: Simplify right side
    222,121x = 100,214,665,489
  5. Step 5: Solve for x
    x = 100,214,665,489/222,121
  6. Step 6: Final answer
    x = 451,171.50

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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.