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Finding the Third Proportional to 38,638 and 84,650

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Solution

The third proportional to 38,638 and 84,650 is: 185,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638 : 84,650 = 84,650 : x
  2. Step 2: Convert to fraction form
    38,638/84,650 = 84,650/x
  3. Step 3: Cross multiply
    38,638x = 84,650 × 84,650
  4. Step 4: Simplify right side
    38,638x = 7,165,622,500
  5. Step 5: Solve for x
    x = 7,165,622,500/38,638
  6. Step 6: Final answer
    x = 185,455.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.