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Finding the Third Proportional to 211,820 and 324,494

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Solution

The third proportional to 211,820 and 324,494 is: 497,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,820 : 324,494 = 324,494 : x
  2. Step 2: Convert to fraction form
    211,820/324,494 = 324,494/x
  3. Step 3: Cross multiply
    211,820x = 324,494 × 324,494
  4. Step 4: Simplify right side
    211,820x = 105,296,356,036
  5. Step 5: Solve for x
    x = 105,296,356,036/211,820
  6. Step 6: Final answer
    x = 497,102.99

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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.