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Finding the Third Proportional to 222,119.25 and 316,564.88

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Solution

The third proportional to 222,119.25 and 316,564.88 is: 451,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,119.25 : 316,564.88 = 316,564.88 : x
  2. Step 2: Convert to fraction form
    222,119.25/316,564.88 = 316,564.88/x
  3. Step 3: Cross multiply
    222,119.25x = 316,564.88 × 316,564.88
  4. Step 4: Simplify right side
    222,119.25x = 100,213,320,083.77
  5. Step 5: Solve for x
    x = 100,213,320,083.77/222,119.25
  6. Step 6: Final answer
    x = 451,169.00

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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.