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Finding the Third Proportional to 1,107.74 and 2,420.51

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Solution

The third proportional to 1,107.74 and 2,420.51 is: 5,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.74 : 2,420.51 = 2,420.51 : x
  2. Step 2: Convert to fraction form
    1,107.74/2,420.51 = 2,420.51/x
  3. Step 3: Cross multiply
    1,107.74x = 2,420.51 × 2,420.51
  4. Step 4: Simplify right side
    1,107.74x = 5,858,858.07
  5. Step 5: Solve for x
    x = 5,858,858.07/1,107.74
  6. Step 6: Final answer
    x = 5,289.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.