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Finding the Third Proportional to 162.45 and 351.02

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Solution

The third proportional to 162.45 and 351.02 is: 758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.45 : 351.02 = 351.02 : x
  2. Step 2: Convert to fraction form
    162.45/351.02 = 351.02/x
  3. Step 3: Cross multiply
    162.45x = 351.02 × 351.02
  4. Step 4: Simplify right side
    162.45x = 123,211.97
  5. Step 5: Solve for x
    x = 123,211.97/162.45
  6. Step 6: Final answer
    x = 758.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.