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Finding the Third Proportional to 81,248 and 171,364

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Solution

The third proportional to 81,248 and 171,364 is: 361,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,248 : 171,364 = 171,364 : x
  2. Step 2: Convert to fraction form
    81,248/171,364 = 171,364/x
  3. Step 3: Cross multiply
    81,248x = 171,364 × 171,364
  4. Step 4: Simplify right side
    81,248x = 29,365,620,496
  5. Step 5: Solve for x
    x = 29,365,620,496/81,248
  6. Step 6: Final answer
    x = 361,431.92

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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.