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Finding the Third Proportional to 214,920 and 323,196

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Solution

The third proportional to 214,920 and 323,196 is: 486,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,920 : 323,196 = 323,196 : x
  2. Step 2: Convert to fraction form
    214,920/323,196 = 323,196/x
  3. Step 3: Cross multiply
    214,920x = 323,196 × 323,196
  4. Step 4: Simplify right side
    214,920x = 104,455,654,416
  5. Step 5: Solve for x
    x = 104,455,654,416/214,920
  6. Step 6: Final answer
    x = 486,021.10

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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.