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Finding the Third Proportional to 149.75 and 328.06

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Solution

The third proportional to 149.75 and 328.06 is: 718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.75 : 328.06 = 328.06 : x
  2. Step 2: Convert to fraction form
    149.75/328.06 = 328.06/x
  3. Step 3: Cross multiply
    149.75x = 328.06 × 328.06
  4. Step 4: Simplify right side
    149.75x = 107,625.00
  5. Step 5: Solve for x
    x = 107,625.00/149.75
  6. Step 6: Final answer
    x = 718.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.