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Finding the Third Proportional to 209,169 and 320,031

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Solution

The third proportional to 209,169 and 320,031 is: 489,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169 : 320,031 = 320,031 : x
  2. Step 2: Convert to fraction form
    209,169/320,031 = 320,031/x
  3. Step 3: Cross multiply
    209,169x = 320,031 × 320,031
  4. Step 4: Simplify right side
    209,169x = 102,419,840,961
  5. Step 5: Solve for x
    x = 102,419,840,961/209,169
  6. Step 6: Final answer
    x = 489,651.15

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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.