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Finding the Third Proportional to 211,409 and 327,411

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Solution

The third proportional to 211,409 and 327,411 is: 507,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,409 : 327,411 = 327,411 : x
  2. Step 2: Convert to fraction form
    211,409/327,411 = 327,411/x
  3. Step 3: Cross multiply
    211,409x = 327,411 × 327,411
  4. Step 4: Simplify right side
    211,409x = 107,197,962,921
  5. Step 5: Solve for x
    x = 107,197,962,921/211,409
  6. Step 6: Final answer
    x = 507,064.33

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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.