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Finding the Third Proportional to 509.75 and 773.88

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Solution

The third proportional to 509.75 and 773.88 is: 1,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 773.88 = 773.88 : x
  2. Step 2: Convert to fraction form
    509.75/773.88 = 773.88/x
  3. Step 3: Cross multiply
    509.75x = 773.88 × 773.88
  4. Step 4: Simplify right side
    509.75x = 598,882.52
  5. Step 5: Solve for x
    x = 598,882.52/509.75
  6. Step 6: Final answer
    x = 1,174.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.