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Finding the Third Proportional to 355,381 and 838,930

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Solution

The third proportional to 355,381 and 838,930 is: 1,980,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,381 : 838,930 = 838,930 : x
  2. Step 2: Convert to fraction form
    355,381/838,930 = 838,930/x
  3. Step 3: Cross multiply
    355,381x = 838,930 × 838,930
  4. Step 4: Simplify right side
    355,381x = 703,803,544,900
  5. Step 5: Solve for x
    x = 703,803,544,900/355,381
  6. Step 6: Final answer
    x = 1,980,419.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.