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Finding the Third Proportional to 154.49 and 328.19

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Solution

The third proportional to 154.49 and 328.19 is: 697.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.49 : 328.19 = 328.19 : x
  2. Step 2: Convert to fraction form
    154.49/328.19 = 328.19/x
  3. Step 3: Cross multiply
    154.49x = 328.19 × 328.19
  4. Step 4: Simplify right side
    154.49x = 107,710.24
  5. Step 5: Solve for x
    x = 107,710.24/154.49
  6. Step 6: Final answer
    x = 697.22

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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.