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Finding the Third Proportional to 320,137 and 694,538

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Solution

The third proportional to 320,137 and 694,538 is: 1,506,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,137 : 694,538 = 694,538 : x
  2. Step 2: Convert to fraction form
    320,137/694,538 = 694,538/x
  3. Step 3: Cross multiply
    320,137x = 694,538 × 694,538
  4. Step 4: Simplify right side
    320,137x = 482,383,033,444
  5. Step 5: Solve for x
    x = 482,383,033,444/320,137
  6. Step 6: Final answer
    x = 1,506,801.88

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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.