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Finding the Third Proportional to 38,312 and 82,456

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Solution

The third proportional to 38,312 and 82,456 is: 177,463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,312 : 82,456 = 82,456 : x
  2. Step 2: Convert to fraction form
    38,312/82,456 = 82,456/x
  3. Step 3: Cross multiply
    38,312x = 82,456 × 82,456
  4. Step 4: Simplify right side
    38,312x = 6,798,991,936
  5. Step 5: Solve for x
    x = 6,798,991,936/38,312
  6. Step 6: Final answer
    x = 177,463.77

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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.