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Finding the Third Proportional to 81,045.56 and 174,099.38

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Solution

The third proportional to 81,045.56 and 174,099.38 is: 373,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,045.56 : 174,099.38 = 174,099.38 : x
  2. Step 2: Convert to fraction form
    81,045.56/174,099.38 = 174,099.38/x
  3. Step 3: Cross multiply
    81,045.56x = 174,099.38 × 174,099.38
  4. Step 4: Simplify right side
    81,045.56x = 30,310,592,375.39
  5. Step 5: Solve for x
    x = 30,310,592,375.39/81,045.56
  6. Step 6: Final answer
    x = 373,994.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.