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Finding the Third Proportional to 289,683 and 605,826

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Solution

The third proportional to 289,683 and 605,826 is: 1,266,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,683 : 605,826 = 605,826 : x
  2. Step 2: Convert to fraction form
    289,683/605,826 = 605,826/x
  3. Step 3: Cross multiply
    289,683x = 605,826 × 605,826
  4. Step 4: Simplify right side
    289,683x = 367,025,142,276
  5. Step 5: Solve for x
    x = 367,025,142,276/289,683
  6. Step 6: Final answer
    x = 1,266,988.89

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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.