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Finding the Third Proportional to 138,006 and 195,318

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Solution

The third proportional to 138,006 and 195,318 is: 276,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,006 : 195,318 = 195,318 : x
  2. Step 2: Convert to fraction form
    138,006/195,318 = 195,318/x
  3. Step 3: Cross multiply
    138,006x = 195,318 × 195,318
  4. Step 4: Simplify right side
    138,006x = 38,149,121,124
  5. Step 5: Solve for x
    x = 38,149,121,124/138,006
  6. Step 6: Final answer
    x = 276,430.89

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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.