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Finding the Third Proportional to 161.45 and 351.71

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Solution

The third proportional to 161.45 and 351.71 is: 766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.45 : 351.71 = 351.71 : x
  2. Step 2: Convert to fraction form
    161.45/351.71 = 351.71/x
  3. Step 3: Cross multiply
    161.45x = 351.71 × 351.71
  4. Step 4: Simplify right side
    161.45x = 123,701.27
  5. Step 5: Solve for x
    x = 123,701.27/161.45
  6. Step 6: Final answer
    x = 766.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.