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Finding the Third Proportional to 1,245.66 and 2,572.31

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Solution

The third proportional to 1,245.66 and 2,572.31 is: 5,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.66 : 2,572.31 = 2,572.31 : x
  2. Step 2: Convert to fraction form
    1,245.66/2,572.31 = 2,572.31/x
  3. Step 3: Cross multiply
    1,245.66x = 2,572.31 × 2,572.31
  4. Step 4: Simplify right side
    1,245.66x = 6,616,791.60
  5. Step 5: Solve for x
    x = 6,616,791.60/1,245.66
  6. Step 6: Final answer
    x = 5,311.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.