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Finding the Third Proportional to 138,276 and 219,869

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Solution

The third proportional to 138,276 and 219,869 is: 349,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,276 : 219,869 = 219,869 : x
  2. Step 2: Convert to fraction form
    138,276/219,869 = 219,869/x
  3. Step 3: Cross multiply
    138,276x = 219,869 × 219,869
  4. Step 4: Simplify right side
    138,276x = 48,342,377,161
  5. Step 5: Solve for x
    x = 48,342,377,161/138,276
  6. Step 6: Final answer
    x = 349,607.87

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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.