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Finding the Third Proportional to 209,001.75 and 320,249.44

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Solution

The third proportional to 209,001.75 and 320,249.44 is: 490,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,001.75 : 320,249.44 = 320,249.44 : x
  2. Step 2: Convert to fraction form
    209,001.75/320,249.44 = 320,249.44/x
  3. Step 3: Cross multiply
    209,001.75x = 320,249.44 × 320,249.44
  4. Step 4: Simplify right side
    209,001.75x = 102,559,702,219.07
  5. Step 5: Solve for x
    x = 102,559,702,219.07/209,001.75
  6. Step 6: Final answer
    x = 490,712.17

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