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Finding the Third Proportional to 211,391 and 327,179

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Solution

The third proportional to 211,391 and 327,179 is: 506,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,391 : 327,179 = 327,179 : x
  2. Step 2: Convert to fraction form
    211,391/327,179 = 327,179/x
  3. Step 3: Cross multiply
    211,391x = 327,179 × 327,179
  4. Step 4: Simplify right side
    211,391x = 107,046,098,041
  5. Step 5: Solve for x
    x = 107,046,098,041/211,391
  6. Step 6: Final answer
    x = 506,389.10

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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.