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Finding the Third Proportional to 319.89 and 509.26

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Solution

The third proportional to 319.89 and 509.26 is: 810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.89 : 509.26 = 509.26 : x
  2. Step 2: Convert to fraction form
    319.89/509.26 = 509.26/x
  3. Step 3: Cross multiply
    319.89x = 509.26 × 509.26
  4. Step 4: Simplify right side
    319.89x = 259,341.53
  5. Step 5: Solve for x
    x = 259,341.53/319.89
  6. Step 6: Final answer
    x = 810.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.