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Finding the Third Proportional to 159,351 and 343,243.50

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Solution

The third proportional to 159,351 and 343,243.50 is: 739,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,351 : 343,243.50 = 343,243.50 : x
  2. Step 2: Convert to fraction form
    159,351/343,243.50 = 343,243.50/x
  3. Step 3: Cross multiply
    159,351x = 343,243.50 × 343,243.50
  4. Step 4: Simplify right side
    159,351x = 117,816,100,292.25
  5. Step 5: Solve for x
    x = 117,816,100,292.25/159,351
  6. Step 6: Final answer
    x = 739,349.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.