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Finding the Third Proportional to 109,376 and 171,353

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Solution

The third proportional to 109,376 and 171,353 is: 268,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,376 : 171,353 = 171,353 : x
  2. Step 2: Convert to fraction form
    109,376/171,353 = 171,353/x
  3. Step 3: Cross multiply
    109,376x = 171,353 × 171,353
  4. Step 4: Simplify right side
    109,376x = 29,361,850,609
  5. Step 5: Solve for x
    x = 29,361,850,609/109,376
  6. Step 6: Final answer
    x = 268,448.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.