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Finding the Third Proportional to 157.13 and 221.06

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Solution

The third proportional to 157.13 and 221.06 is: 311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 221.06 = 221.06 : x
  2. Step 2: Convert to fraction form
    157.13/221.06 = 221.06/x
  3. Step 3: Cross multiply
    157.13x = 221.06 × 221.06
  4. Step 4: Simplify right side
    157.13x = 48,868.63
  5. Step 5: Solve for x
    x = 48,868.63/157.13
  6. Step 6: Final answer
    x = 311.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.