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Finding the Third Proportional to 213,421 and 309,115

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Solution

The third proportional to 213,421 and 309,115 is: 447,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,421 : 309,115 = 309,115 : x
  2. Step 2: Convert to fraction form
    213,421/309,115 = 309,115/x
  3. Step 3: Cross multiply
    213,421x = 309,115 × 309,115
  4. Step 4: Simplify right side
    213,421x = 95,552,083,225
  5. Step 5: Solve for x
    x = 95,552,083,225/213,421
  6. Step 6: Final answer
    x = 447,716.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.