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Finding the Third Proportional to 613.38 and 922.63

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Solution

The third proportional to 613.38 and 922.63 is: 1,387.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.38 : 922.63 = 922.63 : x
  2. Step 2: Convert to fraction form
    613.38/922.63 = 922.63/x
  3. Step 3: Cross multiply
    613.38x = 922.63 × 922.63
  4. Step 4: Simplify right side
    613.38x = 851,236.89
  5. Step 5: Solve for x
    x = 851,236.89/613.38
  6. Step 6: Final answer
    x = 1,387.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.