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Finding the Third Proportional to 38,447 and 82,642

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Solution

The third proportional to 38,447 and 82,642 is: 177,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,447 : 82,642 = 82,642 : x
  2. Step 2: Convert to fraction form
    38,447/82,642 = 82,642/x
  3. Step 3: Cross multiply
    38,447x = 82,642 × 82,642
  4. Step 4: Simplify right side
    38,447x = 6,829,700,164
  5. Step 5: Solve for x
    x = 6,829,700,164/38,447
  6. Step 6: Final answer
    x = 177,639.35

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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.