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Finding the Third Proportional to 234,867 and 335,755.50

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Solution

The third proportional to 234,867 and 335,755.50 is: 479,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,867 : 335,755.50 = 335,755.50 : x
  2. Step 2: Convert to fraction form
    234,867/335,755.50 = 335,755.50/x
  3. Step 3: Cross multiply
    234,867x = 335,755.50 × 335,755.50
  4. Step 4: Simplify right side
    234,867x = 112,731,755,780.25
  5. Step 5: Solve for x
    x = 112,731,755,780.25/234,867
  6. Step 6: Final answer
    x = 479,981.25

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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.