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Finding the Third Proportional to 49,128.19 and 74,099.81

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Solution

The third proportional to 49,128.19 and 74,099.81 is: 111,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,128.19 : 74,099.81 = 74,099.81 : x
  2. Step 2: Convert to fraction form
    49,128.19/74,099.81 = 74,099.81/x
  3. Step 3: Cross multiply
    49,128.19x = 74,099.81 × 74,099.81
  4. Step 4: Simplify right side
    49,128.19x = 5,490,782,212.54
  5. Step 5: Solve for x
    x = 5,490,782,212.54/49,128.19
  6. Step 6: Final answer
    x = 111,764.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.