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Finding the Third Proportional to 154,102.50 and 331,121.25

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Solution

The third proportional to 154,102.50 and 331,121.25 is: 711,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,102.50 : 331,121.25 = 331,121.25 : x
  2. Step 2: Convert to fraction form
    154,102.50/331,121.25 = 331,121.25/x
  3. Step 3: Cross multiply
    154,102.50x = 331,121.25 × 331,121.25
  4. Step 4: Simplify right side
    154,102.50x = 109,641,282,201.56
  5. Step 5: Solve for x
    x = 109,641,282,201.56/154,102.50
  6. Step 6: Final answer
    x = 711,482.83

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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.