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Finding the Third Proportional to 222,484 and 334,158

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Solution

The third proportional to 222,484 and 334,158 is: 501,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,484 : 334,158 = 334,158 : x
  2. Step 2: Convert to fraction form
    222,484/334,158 = 334,158/x
  3. Step 3: Cross multiply
    222,484x = 334,158 × 334,158
  4. Step 4: Simplify right side
    222,484x = 111,661,568,964
  5. Step 5: Solve for x
    x = 111,661,568,964/222,484
  6. Step 6: Final answer
    x = 501,885.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.