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Finding the Third Proportional to 376.50 and 428.06

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Solution

The third proportional to 376.50 and 428.06 is: 486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.50 : 428.06 = 428.06 : x
  2. Step 2: Convert to fraction form
    376.50/428.06 = 428.06/x
  3. Step 3: Cross multiply
    376.50x = 428.06 × 428.06
  4. Step 4: Simplify right side
    376.50x = 183,237.50
  5. Step 5: Solve for x
    x = 183,237.50/376.50
  6. Step 6: Final answer
    x = 486.69

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.