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Finding the Third Proportional to 192,421.83 and 409,754.95

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Solution

The third proportional to 192,421.83 and 409,754.95 is: 872,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,421.83 : 409,754.95 = 409,754.95 : x
  2. Step 2: Convert to fraction form
    192,421.83/409,754.95 = 409,754.95/x
  3. Step 3: Cross multiply
    192,421.83x = 409,754.95 × 409,754.95
  4. Step 4: Simplify right side
    192,421.83x = 167,899,121,610.47
  5. Step 5: Solve for x
    x = 167,899,121,610.47/192,421.83
  6. Step 6: Final answer
    x = 872,557.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.