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Finding the Third Proportional to 38,434 and 81,264

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Solution

The third proportional to 38,434 and 81,264 is: 171,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434 : 81,264 = 81,264 : x
  2. Step 2: Convert to fraction form
    38,434/81,264 = 81,264/x
  3. Step 3: Cross multiply
    38,434x = 81,264 × 81,264
  4. Step 4: Simplify right side
    38,434x = 6,603,837,696
  5. Step 5: Solve for x
    x = 6,603,837,696/38,434
  6. Step 6: Final answer
    x = 171,822.81

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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.