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Finding the Third Proportional to 84,690 and 126,619

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Solution

The third proportional to 84,690 and 126,619 is: 189,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,690 : 126,619 = 126,619 : x
  2. Step 2: Convert to fraction form
    84,690/126,619 = 126,619/x
  3. Step 3: Cross multiply
    84,690x = 126,619 × 126,619
  4. Step 4: Simplify right side
    84,690x = 16,032,371,161
  5. Step 5: Solve for x
    x = 16,032,371,161/84,690
  6. Step 6: Final answer
    x = 189,306.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.