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Finding the Third Proportional to 157.77 and 242.16

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Solution

The third proportional to 157.77 and 242.16 is: 371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.77 : 242.16 = 242.16 : x
  2. Step 2: Convert to fraction form
    157.77/242.16 = 242.16/x
  3. Step 3: Cross multiply
    157.77x = 242.16 × 242.16
  4. Step 4: Simplify right side
    157.77x = 58,639.65
  5. Step 5: Solve for x
    x = 58,639.65/157.77
  6. Step 6: Final answer
    x = 371.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.