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Finding the Third Proportional to 159,538.78 and 340,195.78

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Solution

The third proportional to 159,538.78 and 340,195.78 is: 725,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,538.78 : 340,195.78 = 340,195.78 : x
  2. Step 2: Convert to fraction form
    159,538.78/340,195.78 = 340,195.78/x
  3. Step 3: Cross multiply
    159,538.78x = 340,195.78 × 340,195.78
  4. Step 4: Simplify right side
    159,538.78x = 115,733,169,580.30
  5. Step 5: Solve for x
    x = 115,733,169,580.30/159,538.78
  6. Step 6: Final answer
    x = 725,423.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.