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Finding the Third Proportional to 209,769 and 320,748

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Solution

The third proportional to 209,769 and 320,748 is: 490,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,769 : 320,748 = 320,748 : x
  2. Step 2: Convert to fraction form
    209,769/320,748 = 320,748/x
  3. Step 3: Cross multiply
    209,769x = 320,748 × 320,748
  4. Step 4: Simplify right side
    209,769x = 102,879,279,504
  5. Step 5: Solve for x
    x = 102,879,279,504/209,769
  6. Step 6: Final answer
    x = 490,440.82

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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.