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Finding the Third Proportional to 138,167 and 219,710

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Solution

The third proportional to 138,167 and 219,710 is: 349,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,167 : 219,710 = 219,710 : x
  2. Step 2: Convert to fraction form
    138,167/219,710 = 219,710/x
  3. Step 3: Cross multiply
    138,167x = 219,710 × 219,710
  4. Step 4: Simplify right side
    138,167x = 48,272,484,100
  5. Step 5: Solve for x
    x = 48,272,484,100/138,167
  6. Step 6: Final answer
    x = 349,377.81

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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.