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Finding the Third Proportional to 209,696 and 438,832

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Solution

The third proportional to 209,696 and 438,832 is: 918,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,696 : 438,832 = 438,832 : x
  2. Step 2: Convert to fraction form
    209,696/438,832 = 438,832/x
  3. Step 3: Cross multiply
    209,696x = 438,832 × 438,832
  4. Step 4: Simplify right side
    209,696x = 192,573,524,224
  5. Step 5: Solve for x
    x = 192,573,524,224/209,696
  6. Step 6: Final answer
    x = 918,346.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.