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Finding the Third Proportional to 39,189 and 76,407

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Solution

The third proportional to 39,189 and 76,407 is: 148,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,189 : 76,407 = 76,407 : x
  2. Step 2: Convert to fraction form
    39,189/76,407 = 76,407/x
  3. Step 3: Cross multiply
    39,189x = 76,407 × 76,407
  4. Step 4: Simplify right side
    39,189x = 5,838,029,649
  5. Step 5: Solve for x
    x = 5,838,029,649/39,189
  6. Step 6: Final answer
    x = 148,971.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.