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Finding the Third Proportional to 154,997.50 and 219,381.75

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Solution

The third proportional to 154,997.50 and 219,381.75 is: 310,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,997.50 : 219,381.75 = 219,381.75 : x
  2. Step 2: Convert to fraction form
    154,997.50/219,381.75 = 219,381.75/x
  3. Step 3: Cross multiply
    154,997.50x = 219,381.75 × 219,381.75
  4. Step 4: Simplify right side
    154,997.50x = 48,128,352,233.06
  5. Step 5: Solve for x
    x = 48,128,352,233.06/154,997.50
  6. Step 6: Final answer
    x = 310,510.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.