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Finding the Third Proportional to 157.17 and 205.36

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Solution

The third proportional to 157.17 and 205.36 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 205.36 = 205.36 : x
  2. Step 2: Convert to fraction form
    157.17/205.36 = 205.36/x
  3. Step 3: Cross multiply
    157.17x = 205.36 × 205.36
  4. Step 4: Simplify right side
    157.17x = 42,172.47
  5. Step 5: Solve for x
    x = 42,172.47/157.17
  6. Step 6: Final answer
    x = 268.32

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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.