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Finding the Third Proportional to 276.58 and 375.36

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Solution

The third proportional to 276.58 and 375.36 is: 509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.58 : 375.36 = 375.36 : x
  2. Step 2: Convert to fraction form
    276.58/375.36 = 375.36/x
  3. Step 3: Cross multiply
    276.58x = 375.36 × 375.36
  4. Step 4: Simplify right side
    276.58x = 140,892.64
  5. Step 5: Solve for x
    x = 140,892.64/276.58
  6. Step 6: Final answer
    x = 509.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.