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Finding the Third Proportional to 1,431.28 and 2,276.79

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Solution

The third proportional to 1,431.28 and 2,276.79 is: 3,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.28 : 2,276.79 = 2,276.79 : x
  2. Step 2: Convert to fraction form
    1,431.28/2,276.79 = 2,276.79/x
  3. Step 3: Cross multiply
    1,431.28x = 2,276.79 × 2,276.79
  4. Step 4: Simplify right side
    1,431.28x = 5,183,768.44
  5. Step 5: Solve for x
    x = 5,183,768.44/1,431.28
  6. Step 6: Final answer
    x = 3,621.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.