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Finding the Third Proportional to 289,634 and 605,736

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Solution

The third proportional to 289,634 and 605,736 is: 1,266,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,634 : 605,736 = 605,736 : x
  2. Step 2: Convert to fraction form
    289,634/605,736 = 605,736/x
  3. Step 3: Cross multiply
    289,634x = 605,736 × 605,736
  4. Step 4: Simplify right side
    289,634x = 366,916,101,696
  5. Step 5: Solve for x
    x = 366,916,101,696/289,634
  6. Step 6: Final answer
    x = 1,266,826.76

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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.