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Finding the Third Proportional to 223,867 and 337,956.50

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Solution

The third proportional to 223,867 and 337,956.50 is: 510,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,867 : 337,956.50 = 337,956.50 : x
  2. Step 2: Convert to fraction form
    223,867/337,956.50 = 337,956.50/x
  3. Step 3: Cross multiply
    223,867x = 337,956.50 × 337,956.50
  4. Step 4: Simplify right side
    223,867x = 114,214,595,892.25
  5. Step 5: Solve for x
    x = 114,214,595,892.25/223,867
  6. Step 6: Final answer
    x = 510,189.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.