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Finding the Third Proportional to 124,456.50 and 192,199.50

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Solution

The third proportional to 124,456.50 and 192,199.50 is: 296,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,456.50 : 192,199.50 = 192,199.50 : x
  2. Step 2: Convert to fraction form
    124,456.50/192,199.50 = 192,199.50/x
  3. Step 3: Cross multiply
    124,456.50x = 192,199.50 × 192,199.50
  4. Step 4: Simplify right side
    124,456.50x = 36,940,647,800.25
  5. Step 5: Solve for x
    x = 36,940,647,800.25/124,456.50
  6. Step 6: Final answer
    x = 296,815.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.