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Finding the Third Proportional to 605.19 and 905.38

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Solution

The third proportional to 605.19 and 905.38 is: 1,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.19 : 905.38 = 905.38 : x
  2. Step 2: Convert to fraction form
    605.19/905.38 = 905.38/x
  3. Step 3: Cross multiply
    605.19x = 905.38 × 905.38
  4. Step 4: Simplify right side
    605.19x = 819,703.89
  5. Step 5: Solve for x
    x = 819,703.89/605.19
  6. Step 6: Final answer
    x = 1,354.46

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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.