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Finding the Third Proportional to 211,269 and 327,630

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Solution

The third proportional to 211,269 and 327,630 is: 508,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,269 : 327,630 = 327,630 : x
  2. Step 2: Convert to fraction form
    211,269/327,630 = 327,630/x
  3. Step 3: Cross multiply
    211,269x = 327,630 × 327,630
  4. Step 4: Simplify right side
    211,269x = 107,341,416,900
  5. Step 5: Solve for x
    x = 107,341,416,900/211,269
  6. Step 6: Final answer
    x = 508,079.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.