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Finding the Third Proportional to 222,808.50 and 334,158.75

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Solution

The third proportional to 222,808.50 and 334,158.75 is: 501,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,808.50 : 334,158.75 = 334,158.75 : x
  2. Step 2: Convert to fraction form
    222,808.50/334,158.75 = 334,158.75/x
  3. Step 3: Cross multiply
    222,808.50x = 334,158.75 × 334,158.75
  4. Step 4: Simplify right side
    222,808.50x = 111,662,070,201.56
  5. Step 5: Solve for x
    x = 111,662,070,201.56/222,808.50
  6. Step 6: Final answer
    x = 501,157.14

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Why These Related Problems?

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