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Finding the Third Proportional to 160,204.50 and 341,115.75

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Solution

The third proportional to 160,204.50 and 341,115.75 is: 726,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,204.50 : 341,115.75 = 341,115.75 : x
  2. Step 2: Convert to fraction form
    160,204.50/341,115.75 = 341,115.75/x
  3. Step 3: Cross multiply
    160,204.50x = 341,115.75 × 341,115.75
  4. Step 4: Simplify right side
    160,204.50x = 116,359,954,898.06
  5. Step 5: Solve for x
    x = 116,359,954,898.06/160,204.50
  6. Step 6: Final answer
    x = 726,321.39

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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.