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Finding the Third Proportional to 93,183 and 124,149.50

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Solution

The third proportional to 93,183 and 124,149.50 is: 165,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,183 : 124,149.50 = 124,149.50 : x
  2. Step 2: Convert to fraction form
    93,183/124,149.50 = 124,149.50/x
  3. Step 3: Cross multiply
    93,183x = 124,149.50 × 124,149.50
  4. Step 4: Simplify right side
    93,183x = 15,413,098,350.25
  5. Step 5: Solve for x
    x = 15,413,098,350.25/93,183
  6. Step 6: Final answer
    x = 165,406.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.