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Finding the Third Proportional to 93,471 and 140,325

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Solution

The third proportional to 93,471 and 140,325 is: 210,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,471 : 140,325 = 140,325 : x
  2. Step 2: Convert to fraction form
    93,471/140,325 = 140,325/x
  3. Step 3: Cross multiply
    93,471x = 140,325 × 140,325
  4. Step 4: Simplify right side
    93,471x = 19,691,105,625
  5. Step 5: Solve for x
    x = 19,691,105,625/93,471
  6. Step 6: Final answer
    x = 210,665.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.