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Finding the Third Proportional to 322.50 and 369.50

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Solution

The third proportional to 322.50 and 369.50 is: 423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 369.50 = 369.50 : x
  2. Step 2: Convert to fraction form
    322.50/369.50 = 369.50/x
  3. Step 3: Cross multiply
    322.50x = 369.50 × 369.50
  4. Step 4: Simplify right side
    322.50x = 136,530.25
  5. Step 5: Solve for x
    x = 136,530.25/322.50
  6. Step 6: Final answer
    x = 423.35

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.