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Finding the Third Proportional to 80,371 and 121,285

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Solution

The third proportional to 80,371 and 121,285 is: 183,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,371 : 121,285 = 121,285 : x
  2. Step 2: Convert to fraction form
    80,371/121,285 = 121,285/x
  3. Step 3: Cross multiply
    80,371x = 121,285 × 121,285
  4. Step 4: Simplify right side
    80,371x = 14,710,051,225
  5. Step 5: Solve for x
    x = 14,710,051,225/80,371
  6. Step 6: Final answer
    x = 183,026.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.