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Finding the Third Proportional to 81,840 and 120,168

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Solution

The third proportional to 81,840 and 120,168 is: 176,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840 : 120,168 = 120,168 : x
  2. Step 2: Convert to fraction form
    81,840/120,168 = 120,168/x
  3. Step 3: Cross multiply
    81,840x = 120,168 × 120,168
  4. Step 4: Simplify right side
    81,840x = 14,440,348,224
  5. Step 5: Solve for x
    x = 14,440,348,224/81,840
  6. Step 6: Final answer
    x = 176,446.09

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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.