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Finding the Third Proportional to 222,118 and 316,563

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Solution

The third proportional to 222,118 and 316,563 is: 451,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,118 : 316,563 = 316,563 : x
  2. Step 2: Convert to fraction form
    222,118/316,563 = 316,563/x
  3. Step 3: Cross multiply
    222,118x = 316,563 × 316,563
  4. Step 4: Simplify right side
    222,118x = 100,212,132,969
  5. Step 5: Solve for x
    x = 100,212,132,969/222,118
  6. Step 6: Final answer
    x = 451,166.20

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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.