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Finding the Third Proportional to 309,662 and 680,220

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Solution

The third proportional to 309,662 and 680,220 is: 1,494,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,662 : 680,220 = 680,220 : x
  2. Step 2: Convert to fraction form
    309,662/680,220 = 680,220/x
  3. Step 3: Cross multiply
    309,662x = 680,220 × 680,220
  4. Step 4: Simplify right side
    309,662x = 462,699,248,400
  5. Step 5: Solve for x
    x = 462,699,248,400/309,662
  6. Step 6: Final answer
    x = 1,494,207.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.