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Finding the Third Proportional to 181,102.50 and 393,339.38

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Solution

The third proportional to 181,102.50 and 393,339.38 is: 854,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,102.50 : 393,339.38 = 393,339.38 : x
  2. Step 2: Convert to fraction form
    181,102.50/393,339.38 = 393,339.38/x
  3. Step 3: Cross multiply
    181,102.50x = 393,339.38 × 393,339.38
  4. Step 4: Simplify right side
    181,102.50x = 154,715,863,925.39
  5. Step 5: Solve for x
    x = 154,715,863,925.39/181,102.50
  6. Step 6: Final answer
    x = 854,299.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.