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Finding the Third Proportional to 154,997 and 219,381

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Solution

The third proportional to 154,997 and 219,381 is: 310,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,997 : 219,381 = 219,381 : x
  2. Step 2: Convert to fraction form
    154,997/219,381 = 219,381/x
  3. Step 3: Cross multiply
    154,997x = 219,381 × 219,381
  4. Step 4: Simplify right side
    154,997x = 48,128,023,161
  5. Step 5: Solve for x
    x = 48,128,023,161/154,997
  6. Step 6: Final answer
    x = 310,509.39

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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.