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Finding the Third Proportional to 81,900 and 178,624

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Solution

The third proportional to 81,900 and 178,624 is: 389,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,900 : 178,624 = 178,624 : x
  2. Step 2: Convert to fraction form
    81,900/178,624 = 178,624/x
  3. Step 3: Cross multiply
    81,900x = 178,624 × 178,624
  4. Step 4: Simplify right side
    81,900x = 31,906,533,376
  5. Step 5: Solve for x
    x = 31,906,533,376/81,900
  6. Step 6: Final answer
    x = 389,579.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.