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Finding the Third Proportional to 605.31 and 930.84

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Solution

The third proportional to 605.31 and 930.84 is: 1,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.31 : 930.84 = 930.84 : x
  2. Step 2: Convert to fraction form
    605.31/930.84 = 930.84/x
  3. Step 3: Cross multiply
    605.31x = 930.84 × 930.84
  4. Step 4: Simplify right side
    605.31x = 866,470.09
  5. Step 5: Solve for x
    x = 866,470.09/605.31
  6. Step 6: Final answer
    x = 1,431.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.