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Finding the Third Proportional to 157.36 and 380.74

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Solution

The third proportional to 157.36 and 380.74 is: 921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.36 : 380.74 = 380.74 : x
  2. Step 2: Convert to fraction form
    157.36/380.74 = 380.74/x
  3. Step 3: Cross multiply
    157.36x = 380.74 × 380.74
  4. Step 4: Simplify right side
    157.36x = 144,964.61
  5. Step 5: Solve for x
    x = 144,964.61/157.36
  6. Step 6: Final answer
    x = 921.23

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.