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Finding the Third Proportional to 324.19 and 493.06

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Solution

The third proportional to 324.19 and 493.06 is: 749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.19 : 493.06 = 493.06 : x
  2. Step 2: Convert to fraction form
    324.19/493.06 = 493.06/x
  3. Step 3: Cross multiply
    324.19x = 493.06 × 493.06
  4. Step 4: Simplify right side
    324.19x = 243,110.63
  5. Step 5: Solve for x
    x = 243,110.63/324.19
  6. Step 6: Final answer
    x = 749.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.