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Finding the Third Proportional to 51,150.19 and 111,048.38

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Solution

The third proportional to 51,150.19 and 111,048.38 is: 241,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,150.19 : 111,048.38 = 111,048.38 : x
  2. Step 2: Convert to fraction form
    51,150.19/111,048.38 = 111,048.38/x
  3. Step 3: Cross multiply
    51,150.19x = 111,048.38 × 111,048.38
  4. Step 4: Simplify right side
    51,150.19x = 12,331,741,590.14
  5. Step 5: Solve for x
    x = 12,331,741,590.14/51,150.19
  6. Step 6: Final answer
    x = 241,088.88

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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.