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Finding the Third Proportional to 609.09 and 1,131.68

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Solution

The third proportional to 609.09 and 1,131.68 is: 2,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.09 : 1,131.68 = 1,131.68 : x
  2. Step 2: Convert to fraction form
    609.09/1,131.68 = 1,131.68/x
  3. Step 3: Cross multiply
    609.09x = 1,131.68 × 1,131.68
  4. Step 4: Simplify right side
    609.09x = 1,280,691.46
  5. Step 5: Solve for x
    x = 1,280,691.46/609.09
  6. Step 6: Final answer
    x = 2,102.64

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.