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Finding the Third Proportional to 138,282 and 219,875

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Solution

The third proportional to 138,282 and 219,875 is: 349,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,282 : 219,875 = 219,875 : x
  2. Step 2: Convert to fraction form
    138,282/219,875 = 219,875/x
  3. Step 3: Cross multiply
    138,282x = 219,875 × 219,875
  4. Step 4: Simplify right side
    138,282x = 48,345,015,625
  5. Step 5: Solve for x
    x = 48,345,015,625/138,282
  6. Step 6: Final answer
    x = 349,611.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.