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Finding the Third Proportional to 149.63 and 317.37

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Solution

The third proportional to 149.63 and 317.37 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.63 : 317.37 = 317.37 : x
  2. Step 2: Convert to fraction form
    149.63/317.37 = 317.37/x
  3. Step 3: Cross multiply
    149.63x = 317.37 × 317.37
  4. Step 4: Simplify right side
    149.63x = 100,721.93
  5. Step 5: Solve for x
    x = 100,721.93/149.63
  6. Step 6: Final answer
    x = 673.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.