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Finding the Third Proportional to 222,117.38 and 316,562.06

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Solution

The third proportional to 222,117.38 and 316,562.06 is: 451,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,117.38 : 316,562.06 = 316,562.06 : x
  2. Step 2: Convert to fraction form
    222,117.38/316,562.06 = 316,562.06/x
  3. Step 3: Cross multiply
    222,117.38x = 316,562.06 × 316,562.06
  4. Step 4: Simplify right side
    222,117.38x = 100,211,539,414.25
  5. Step 5: Solve for x
    x = 100,211,539,414.25/222,117.38
  6. Step 6: Final answer
    x = 451,164.79

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