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Finding the Third Proportional to 605.38 and 912.63

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Solution

The third proportional to 605.38 and 912.63 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.38 : 912.63 = 912.63 : x
  2. Step 2: Convert to fraction form
    605.38/912.63 = 912.63/x
  3. Step 3: Cross multiply
    605.38x = 912.63 × 912.63
  4. Step 4: Simplify right side
    605.38x = 832,884.39
  5. Step 5: Solve for x
    x = 832,884.39/605.38
  6. Step 6: Final answer
    x = 1,375.82

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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.