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Finding the Third Proportional to 154,998.50 and 219,383

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Solution

The third proportional to 154,998.50 and 219,383 is: 310,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,998.50 : 219,383 = 219,383 : x
  2. Step 2: Convert to fraction form
    154,998.50/219,383 = 219,383/x
  3. Step 3: Cross multiply
    154,998.50x = 219,383 × 219,383
  4. Step 4: Simplify right side
    154,998.50x = 48,128,900,689
  5. Step 5: Solve for x
    x = 48,128,900,689/154,998.50
  6. Step 6: Final answer
    x = 310,512.04

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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.