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Finding the Third Proportional to 211,057 and 316,218

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Solution

The third proportional to 211,057 and 316,218 is: 473,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,057 : 316,218 = 316,218 : x
  2. Step 2: Convert to fraction form
    211,057/316,218 = 316,218/x
  3. Step 3: Cross multiply
    211,057x = 316,218 × 316,218
  4. Step 4: Simplify right side
    211,057x = 99,993,823,524
  5. Step 5: Solve for x
    x = 99,993,823,524/211,057
  6. Step 6: Final answer
    x = 473,776.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.