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Finding the Third Proportional to 159.79 and 335.71

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Solution

The third proportional to 159.79 and 335.71 is: 705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.79 : 335.71 = 335.71 : x
  2. Step 2: Convert to fraction form
    159.79/335.71 = 335.71/x
  3. Step 3: Cross multiply
    159.79x = 335.71 × 335.71
  4. Step 4: Simplify right side
    159.79x = 112,699.21
  5. Step 5: Solve for x
    x = 112,699.21/159.79
  6. Step 6: Final answer
    x = 705.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.