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Finding the Third Proportional to 425.67 and 919.27

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Solution

The third proportional to 425.67 and 919.27 is: 1,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.67 : 919.27 = 919.27 : x
  2. Step 2: Convert to fraction form
    425.67/919.27 = 919.27/x
  3. Step 3: Cross multiply
    425.67x = 919.27 × 919.27
  4. Step 4: Simplify right side
    425.67x = 845,049.29
  5. Step 5: Solve for x
    x = 845,049.29/425.67
  6. Step 6: Final answer
    x = 1,985.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.