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Finding the Third Proportional to 320,519 and 685,507

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Solution

The third proportional to 320,519 and 685,507 is: 1,466,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,519 : 685,507 = 685,507 : x
  2. Step 2: Convert to fraction form
    320,519/685,507 = 685,507/x
  3. Step 3: Cross multiply
    320,519x = 685,507 × 685,507
  4. Step 4: Simplify right side
    320,519x = 469,919,847,049
  5. Step 5: Solve for x
    x = 469,919,847,049/320,519
  6. Step 6: Final answer
    x = 1,466,121.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.