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Finding the Third Proportional to 169.31 and 242.16

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Solution

The third proportional to 169.31 and 242.16 is: 346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 242.16 = 242.16 : x
  2. Step 2: Convert to fraction form
    169.31/242.16 = 242.16/x
  3. Step 3: Cross multiply
    169.31x = 242.16 × 242.16
  4. Step 4: Simplify right side
    169.31x = 58,639.65
  5. Step 5: Solve for x
    x = 58,639.65/169.31
  6. Step 6: Final answer
    x = 346.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.