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Finding the Third Proportional to 337.75 and 509.13

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Solution

The third proportional to 337.75 and 509.13 is: 767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.75 : 509.13 = 509.13 : x
  2. Step 2: Convert to fraction form
    337.75/509.13 = 509.13/x
  3. Step 3: Cross multiply
    337.75x = 509.13 × 509.13
  4. Step 4: Simplify right side
    337.75x = 259,208.27
  5. Step 5: Solve for x
    x = 259,208.27/337.75
  6. Step 6: Final answer
    x = 767.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.