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Finding the Third Proportional to 609.12 and 919.13

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Solution

The third proportional to 609.12 and 919.13 is: 1,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.12 : 919.13 = 919.13 : x
  2. Step 2: Convert to fraction form
    609.12/919.13 = 919.13/x
  3. Step 3: Cross multiply
    609.12x = 919.13 × 919.13
  4. Step 4: Simplify right side
    609.12x = 844,790.77
  5. Step 5: Solve for x
    x = 844,790.77/609.12
  6. Step 6: Final answer
    x = 1,386.91

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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.