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Finding the Third Proportional to 605.13 and 912.19

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Solution

The third proportional to 605.13 and 912.19 is: 1,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.13 : 912.19 = 912.19 : x
  2. Step 2: Convert to fraction form
    605.13/912.19 = 912.19/x
  3. Step 3: Cross multiply
    605.13x = 912.19 × 912.19
  4. Step 4: Simplify right side
    605.13x = 832,086.04
  5. Step 5: Solve for x
    x = 832,086.04/605.13
  6. Step 6: Final answer
    x = 1,375.06

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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.