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Finding the Third Proportional to 605.67 and 920.67

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Solution

The third proportional to 605.67 and 920.67 is: 1,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.67 : 920.67 = 920.67 : x
  2. Step 2: Convert to fraction form
    605.67/920.67 = 920.67/x
  3. Step 3: Cross multiply
    605.67x = 920.67 × 920.67
  4. Step 4: Simplify right side
    605.67x = 847,636.70
  5. Step 5: Solve for x
    x = 847,636.70/605.67
  6. Step 6: Final answer
    x = 1,399.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.