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Finding the Third Proportional to 275.38 and 375.06

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Solution

The third proportional to 275.38 and 375.06 is: 510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.38 : 375.06 = 375.06 : x
  2. Step 2: Convert to fraction form
    275.38/375.06 = 375.06/x
  3. Step 3: Cross multiply
    275.38x = 375.06 × 375.06
  4. Step 4: Simplify right side
    275.38x = 140,671.88
  5. Step 5: Solve for x
    x = 140,671.88/275.38
  6. Step 6: Final answer
    x = 510.84

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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.