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Finding the Third Proportional to 322.10 and 535.36

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Solution

The third proportional to 322.10 and 535.36 is: 889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.10 : 535.36 = 535.36 : x
  2. Step 2: Convert to fraction form
    322.10/535.36 = 535.36/x
  3. Step 3: Cross multiply
    322.10x = 535.36 × 535.36
  4. Step 4: Simplify right side
    322.10x = 286,609.66
  5. Step 5: Solve for x
    x = 286,609.66/322.10
  6. Step 6: Final answer
    x = 889.81

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.