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Finding the Third Proportional to 133,883 and 289,806

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Solution

The third proportional to 133,883 and 289,806 is: 627,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,883 : 289,806 = 289,806 : x
  2. Step 2: Convert to fraction form
    133,883/289,806 = 289,806/x
  3. Step 3: Cross multiply
    133,883x = 289,806 × 289,806
  4. Step 4: Simplify right side
    133,883x = 83,987,517,636
  5. Step 5: Solve for x
    x = 83,987,517,636/133,883
  6. Step 6: Final answer
    x = 627,320.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.