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Finding the Third Proportional to 274.54 and 431.47

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Solution

The third proportional to 274.54 and 431.47 is: 678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.54 : 431.47 = 431.47 : x
  2. Step 2: Convert to fraction form
    274.54/431.47 = 431.47/x
  3. Step 3: Cross multiply
    274.54x = 431.47 × 431.47
  4. Step 4: Simplify right side
    274.54x = 186,168.65
  5. Step 5: Solve for x
    x = 186,168.65/274.54
  6. Step 6: Final answer
    x = 678.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.