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Finding the Third Proportional to 214,911 and 331,388

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Solution

The third proportional to 214,911 and 331,388 is: 510,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,911 : 331,388 = 331,388 : x
  2. Step 2: Convert to fraction form
    214,911/331,388 = 331,388/x
  3. Step 3: Cross multiply
    214,911x = 331,388 × 331,388
  4. Step 4: Simplify right side
    214,911x = 109,818,006,544
  5. Step 5: Solve for x
    x = 109,818,006,544/214,911
  6. Step 6: Final answer
    x = 510,992.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.