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Finding the Third Proportional to 80,354 and 122,403

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Solution

The third proportional to 80,354 and 122,403 is: 186,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,354 : 122,403 = 122,403 : x
  2. Step 2: Convert to fraction form
    80,354/122,403 = 122,403/x
  3. Step 3: Cross multiply
    80,354x = 122,403 × 122,403
  4. Step 4: Simplify right side
    80,354x = 14,982,494,409
  5. Step 5: Solve for x
    x = 14,982,494,409/80,354
  6. Step 6: Final answer
    x = 186,456.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.