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Finding the Third Proportional to 319.50 and 685.13

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Solution

The third proportional to 319.50 and 685.13 is: 1,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 685.13 = 685.13 : x
  2. Step 2: Convert to fraction form
    319.50/685.13 = 685.13/x
  3. Step 3: Cross multiply
    319.50x = 685.13 × 685.13
  4. Step 4: Simplify right side
    319.50x = 469,396.27
  5. Step 5: Solve for x
    x = 469,396.27/319.50
  6. Step 6: Final answer
    x = 1,469.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.