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Finding the Third Proportional to 209,767 and 320,745

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Solution

The third proportional to 209,767 and 320,745 is: 490,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,767 : 320,745 = 320,745 : x
  2. Step 2: Convert to fraction form
    209,767/320,745 = 320,745/x
  3. Step 3: Cross multiply
    209,767x = 320,745 × 320,745
  4. Step 4: Simplify right side
    209,767x = 102,877,355,025
  5. Step 5: Solve for x
    x = 102,877,355,025/209,767
  6. Step 6: Final answer
    x = 490,436.32

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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.