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Finding the Third Proportional to 319.19 and 698.19

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Solution

The third proportional to 319.19 and 698.19 is: 1,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.19 : 698.19 = 698.19 : x
  2. Step 2: Convert to fraction form
    319.19/698.19 = 698.19/x
  3. Step 3: Cross multiply
    319.19x = 698.19 × 698.19
  4. Step 4: Simplify right side
    319.19x = 487,465.79
  5. Step 5: Solve for x
    x = 487,465.79/319.19
  6. Step 6: Final answer
    x = 1,527.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.