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Finding the Third Proportional to 212,008 and 323,820

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Solution

The third proportional to 212,008 and 323,820 is: 494,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,008 : 323,820 = 323,820 : x
  2. Step 2: Convert to fraction form
    212,008/323,820 = 323,820/x
  3. Step 3: Cross multiply
    212,008x = 323,820 × 323,820
  4. Step 4: Simplify right side
    212,008x = 104,859,392,400
  5. Step 5: Solve for x
    x = 104,859,392,400/212,008
  6. Step 6: Final answer
    x = 494,601.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.