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Finding the Third Proportional to 324.63 and 469.86

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Solution

The third proportional to 324.63 and 469.86 is: 680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.63 : 469.86 = 469.86 : x
  2. Step 2: Convert to fraction form
    324.63/469.86 = 469.86/x
  3. Step 3: Cross multiply
    324.63x = 469.86 × 469.86
  4. Step 4: Simplify right side
    324.63x = 220,771.50
  5. Step 5: Solve for x
    x = 220,771.50/324.63
  6. Step 6: Final answer
    x = 680.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.