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Finding the Third Proportional to 38,642 and 81,435

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Solution

The third proportional to 38,642 and 81,435 is: 171,617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642 : 81,435 = 81,435 : x
  2. Step 2: Convert to fraction form
    38,642/81,435 = 81,435/x
  3. Step 3: Cross multiply
    38,642x = 81,435 × 81,435
  4. Step 4: Simplify right side
    38,642x = 6,631,659,225
  5. Step 5: Solve for x
    x = 6,631,659,225/38,642
  6. Step 6: Final answer
    x = 171,617.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.