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Finding the Third Proportional to 154,803.75 and 217,997.63

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Solution

The third proportional to 154,803.75 and 217,997.63 is: 306,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,803.75 : 217,997.63 = 217,997.63 : x
  2. Step 2: Convert to fraction form
    154,803.75/217,997.63 = 217,997.63/x
  3. Step 3: Cross multiply
    154,803.75x = 217,997.63 × 217,997.63
  4. Step 4: Simplify right side
    154,803.75x = 47,522,964,505.64
  5. Step 5: Solve for x
    x = 47,522,964,505.64/154,803.75
  6. Step 6: Final answer
    x = 306,988.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.