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Finding the Third Proportional to 93,678 and 140,519

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Solution

The third proportional to 93,678 and 140,519 is: 210,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,678 : 140,519 = 140,519 : x
  2. Step 2: Convert to fraction form
    93,678/140,519 = 140,519/x
  3. Step 3: Cross multiply
    93,678x = 140,519 × 140,519
  4. Step 4: Simplify right side
    93,678x = 19,745,589,361
  5. Step 5: Solve for x
    x = 19,745,589,361/93,678
  6. Step 6: Final answer
    x = 210,781.50

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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.