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Finding the Third Proportional to 151.22 and 322.66

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Solution

The third proportional to 151.22 and 322.66 is: 688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.22 : 322.66 = 322.66 : x
  2. Step 2: Convert to fraction form
    151.22/322.66 = 322.66/x
  3. Step 3: Cross multiply
    151.22x = 322.66 × 322.66
  4. Step 4: Simplify right side
    151.22x = 104,107.06
  5. Step 5: Solve for x
    x = 104,107.06/151.22
  6. Step 6: Final answer
    x = 688.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.