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Finding the Third Proportional to 214.50 and 322.69

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Solution

The third proportional to 214.50 and 322.69 is: 485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 322.69 = 322.69 : x
  2. Step 2: Convert to fraction form
    214.50/322.69 = 322.69/x
  3. Step 3: Cross multiply
    214.50x = 322.69 × 322.69
  4. Step 4: Simplify right side
    214.50x = 104,127.22
  5. Step 5: Solve for x
    x = 104,127.22/214.50
  6. Step 6: Final answer
    x = 485.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.