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Finding the Third Proportional to 211,236 and 318,651

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Solution

The third proportional to 211,236 and 318,651 is: 480,687.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,236 : 318,651 = 318,651 : x
  2. Step 2: Convert to fraction form
    211,236/318,651 = 318,651/x
  3. Step 3: Cross multiply
    211,236x = 318,651 × 318,651
  4. Step 4: Simplify right side
    211,236x = 101,538,459,801
  5. Step 5: Solve for x
    x = 101,538,459,801/211,236
  6. Step 6: Final answer
    x = 480,687.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.