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Finding the Third Proportional to 540.70 and 828.91

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Solution

The third proportional to 540.70 and 828.91 is: 1,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 828.91 = 828.91 : x
  2. Step 2: Convert to fraction form
    540.70/828.91 = 828.91/x
  3. Step 3: Cross multiply
    540.70x = 828.91 × 828.91
  4. Step 4: Simplify right side
    540.70x = 687,083.95
  5. Step 5: Solve for x
    x = 687,083.95/540.70
  6. Step 6: Final answer
    x = 1,270.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.