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Finding the Third Proportional to 160.69 and 332.81

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Solution

The third proportional to 160.69 and 332.81 is: 689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.69 : 332.81 = 332.81 : x
  2. Step 2: Convert to fraction form
    160.69/332.81 = 332.81/x
  3. Step 3: Cross multiply
    160.69x = 332.81 × 332.81
  4. Step 4: Simplify right side
    160.69x = 110,764.16
  5. Step 5: Solve for x
    x = 110,764.16/160.69
  6. Step 6: Final answer
    x = 689.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.