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Finding the Third Proportional to 609.45 and 1,291.52

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Solution

The third proportional to 609.45 and 1,291.52 is: 2,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.45 : 1,291.52 = 1,291.52 : x
  2. Step 2: Convert to fraction form
    609.45/1,291.52 = 1,291.52/x
  3. Step 3: Cross multiply
    609.45x = 1,291.52 × 1,291.52
  4. Step 4: Simplify right side
    609.45x = 1,668,032.79
  5. Step 5: Solve for x
    x = 1,668,032.79/609.45
  6. Step 6: Final answer
    x = 2,736.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.