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Finding the Third Proportional to 81,864 and 120,492

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Solution

The third proportional to 81,864 and 120,492 is: 177,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 120,492 = 120,492 : x
  2. Step 2: Convert to fraction form
    81,864/120,492 = 120,492/x
  3. Step 3: Cross multiply
    81,864x = 120,492 × 120,492
  4. Step 4: Simplify right side
    81,864x = 14,518,322,064
  5. Step 5: Solve for x
    x = 14,518,322,064/81,864
  6. Step 6: Final answer
    x = 177,346.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.