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Finding the Third Proportional to 157.69 and 206.06

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Solution

The third proportional to 157.69 and 206.06 is: 269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.69 : 206.06 = 206.06 : x
  2. Step 2: Convert to fraction form
    157.69/206.06 = 206.06/x
  3. Step 3: Cross multiply
    157.69x = 206.06 × 206.06
  4. Step 4: Simplify right side
    157.69x = 42,461.75
  5. Step 5: Solve for x
    x = 42,461.75/157.69
  6. Step 6: Final answer
    x = 269.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.