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Finding the Third Proportional to 152,990 and 331,394

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Solution

The third proportional to 152,990 and 331,394 is: 717,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,990 : 331,394 = 331,394 : x
  2. Step 2: Convert to fraction form
    152,990/331,394 = 331,394/x
  3. Step 3: Cross multiply
    152,990x = 331,394 × 331,394
  4. Step 4: Simplify right side
    152,990x = 109,821,983,236
  5. Step 5: Solve for x
    x = 109,821,983,236/152,990
  6. Step 6: Final answer
    x = 717,837.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.