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Finding the Third Proportional to 276.56 and 431.69

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Solution

The third proportional to 276.56 and 431.69 is: 673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 431.69 = 431.69 : x
  2. Step 2: Convert to fraction form
    276.56/431.69 = 431.69/x
  3. Step 3: Cross multiply
    276.56x = 431.69 × 431.69
  4. Step 4: Simplify right side
    276.56x = 186,354.10
  5. Step 5: Solve for x
    x = 186,354.10/276.56
  6. Step 6: Final answer
    x = 673.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.