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Finding the Third Proportional to 157.22 and 330.05

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Solution

The third proportional to 157.22 and 330.05 is: 692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.22 : 330.05 = 330.05 : x
  2. Step 2: Convert to fraction form
    157.22/330.05 = 330.05/x
  3. Step 3: Cross multiply
    157.22x = 330.05 × 330.05
  4. Step 4: Simplify right side
    157.22x = 108,930.94
  5. Step 5: Solve for x
    x = 108,930.94/157.22
  6. Step 6: Final answer
    x = 692.86

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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.