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Finding the Third Proportional to 514.23 and 828.11

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Solution

The third proportional to 514.23 and 828.11 is: 1,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.23 : 828.11 = 828.11 : x
  2. Step 2: Convert to fraction form
    514.23/828.11 = 828.11/x
  3. Step 3: Cross multiply
    514.23x = 828.11 × 828.11
  4. Step 4: Simplify right side
    514.23x = 685,758.67
  5. Step 5: Solve for x
    x = 685,758.67/514.23
  6. Step 6: Final answer
    x = 1,333.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.