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Finding the Third Proportional to 149.84 and 322.24

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Solution

The third proportional to 149.84 and 322.24 is: 693.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.84 : 322.24 = 322.24 : x
  2. Step 2: Convert to fraction form
    149.84/322.24 = 322.24/x
  3. Step 3: Cross multiply
    149.84x = 322.24 × 322.24
  4. Step 4: Simplify right side
    149.84x = 103,840.03
  5. Step 5: Solve for x
    x = 103,840.03/149.84
  6. Step 6: Final answer
    x = 693.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.