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Finding the Third Proportional to 209,610 and 320,799

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Solution

The third proportional to 209,610 and 320,799 is: 490,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,610 : 320,799 = 320,799 : x
  2. Step 2: Convert to fraction form
    209,610/320,799 = 320,799/x
  3. Step 3: Cross multiply
    209,610x = 320,799 × 320,799
  4. Step 4: Simplify right side
    209,610x = 102,911,998,401
  5. Step 5: Solve for x
    x = 102,911,998,401/209,610
  6. Step 6: Final answer
    x = 490,968.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.