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Finding the Third Proportional to 149.38 and 293.88

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Solution

The third proportional to 149.38 and 293.88 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 293.88 = 293.88 : x
  2. Step 2: Convert to fraction form
    149.38/293.88 = 293.88/x
  3. Step 3: Cross multiply
    149.38x = 293.88 × 293.88
  4. Step 4: Simplify right side
    149.38x = 86,362.52
  5. Step 5: Solve for x
    x = 86,362.52/149.38
  6. Step 6: Final answer
    x = 578.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.