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Finding the Third Proportional to 289,651 and 605,785

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Solution

The third proportional to 289,651 and 605,785 is: 1,266,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,651 : 605,785 = 605,785 : x
  2. Step 2: Convert to fraction form
    289,651/605,785 = 605,785/x
  3. Step 3: Cross multiply
    289,651x = 605,785 × 605,785
  4. Step 4: Simplify right side
    289,651x = 366,975,466,225
  5. Step 5: Solve for x
    x = 366,975,466,225/289,651
  6. Step 6: Final answer
    x = 1,266,957.36

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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.