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Finding the Third Proportional to 1,121.67 and 2,390.70

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Solution

The third proportional to 1,121.67 and 2,390.70 is: 5,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.67 : 2,390.70 = 2,390.70 : x
  2. Step 2: Convert to fraction form
    1,121.67/2,390.70 = 2,390.70/x
  3. Step 3: Cross multiply
    1,121.67x = 2,390.70 × 2,390.70
  4. Step 4: Simplify right side
    1,121.67x = 5,715,429.33
  5. Step 5: Solve for x
    x = 5,715,429.33/1,121.67
  6. Step 6: Final answer
    x = 5,095.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.