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Finding the Third Proportional to 93,908 and 140,903

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Solution

The third proportional to 93,908 and 140,903 is: 211,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,908 : 140,903 = 140,903 : x
  2. Step 2: Convert to fraction form
    93,908/140,903 = 140,903/x
  3. Step 3: Cross multiply
    93,908x = 140,903 × 140,903
  4. Step 4: Simplify right side
    93,908x = 19,853,655,409
  5. Step 5: Solve for x
    x = 19,853,655,409/93,908
  6. Step 6: Final answer
    x = 211,416.02

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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.