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Finding the Third Proportional to 605.44 and 905.63

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Solution

The third proportional to 605.44 and 905.63 is: 1,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.44 : 905.63 = 905.63 : x
  2. Step 2: Convert to fraction form
    605.44/905.63 = 905.63/x
  3. Step 3: Cross multiply
    605.44x = 905.63 × 905.63
  4. Step 4: Simplify right side
    605.44x = 820,156.64
  5. Step 5: Solve for x
    x = 820,156.64/605.44
  6. Step 6: Final answer
    x = 1,354.65

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Why These Related Problems?

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