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Finding the Third Proportional to 423.19 and 663.28

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Solution

The third proportional to 423.19 and 663.28 is: 1,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.19 : 663.28 = 663.28 : x
  2. Step 2: Convert to fraction form
    423.19/663.28 = 663.28/x
  3. Step 3: Cross multiply
    423.19x = 663.28 × 663.28
  4. Step 4: Simplify right side
    423.19x = 439,942.02
  5. Step 5: Solve for x
    x = 439,942.02/423.19
  6. Step 6: Final answer
    x = 1,039.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.