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Finding the Third Proportional to 38,430 and 82,690

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Solution

The third proportional to 38,430 and 82,690 is: 177,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,430 : 82,690 = 82,690 : x
  2. Step 2: Convert to fraction form
    38,430/82,690 = 82,690/x
  3. Step 3: Cross multiply
    38,430x = 82,690 × 82,690
  4. Step 4: Simplify right side
    38,430x = 6,837,636,100
  5. Step 5: Solve for x
    x = 6,837,636,100/38,430
  6. Step 6: Final answer
    x = 177,924.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.