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Finding the Third Proportional to 1,207.41 and 1,820.60

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Solution

The third proportional to 1,207.41 and 1,820.60 is: 2,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.41 : 1,820.60 = 1,820.60 : x
  2. Step 2: Convert to fraction form
    1,207.41/1,820.60 = 1,820.60/x
  3. Step 3: Cross multiply
    1,207.41x = 1,820.60 × 1,820.60
  4. Step 4: Simplify right side
    1,207.41x = 3,314,590.05
  5. Step 5: Solve for x
    x = 3,314,590.05/1,207.41
  6. Step 6: Final answer
    x = 2,745.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.