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Finding the Third Proportional to 429.25 and 919.23

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Solution

The third proportional to 429.25 and 919.23 is: 1,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.25 : 919.23 = 919.23 : x
  2. Step 2: Convert to fraction form
    429.25/919.23 = 919.23/x
  3. Step 3: Cross multiply
    429.25x = 919.23 × 919.23
  4. Step 4: Simplify right side
    429.25x = 844,991.84
  5. Step 5: Solve for x
    x = 844,991.84/429.25
  6. Step 6: Final answer
    x = 1,968.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.