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Finding the Third Proportional to 1,121.06 and 1,538.91

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Solution

The third proportional to 1,121.06 and 1,538.91 is: 2,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.06 : 1,538.91 = 1,538.91 : x
  2. Step 2: Convert to fraction form
    1,121.06/1,538.91 = 1,538.91/x
  3. Step 3: Cross multiply
    1,121.06x = 1,538.91 × 1,538.91
  4. Step 4: Simplify right side
    1,121.06x = 2,368,232.45
  5. Step 5: Solve for x
    x = 2,368,232.45/1,121.06
  6. Step 6: Final answer
    x = 2,112.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.