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Finding the Third Proportional to 162.98 and 356.20

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Solution

The third proportional to 162.98 and 356.20 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.98 : 356.20 = 356.20 : x
  2. Step 2: Convert to fraction form
    162.98/356.20 = 356.20/x
  3. Step 3: Cross multiply
    162.98x = 356.20 × 356.20
  4. Step 4: Simplify right side
    162.98x = 126,880.67
  5. Step 5: Solve for x
    x = 126,880.67/162.98
  6. Step 6: Final answer
    x = 778.48

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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.