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Finding the Third Proportional to 289,861 and 627,974

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Solution

The third proportional to 289,861 and 627,974 is: 1,360,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,861 : 627,974 = 627,974 : x
  2. Step 2: Convert to fraction form
    289,861/627,974 = 627,974/x
  3. Step 3: Cross multiply
    289,861x = 627,974 × 627,974
  4. Step 4: Simplify right side
    289,861x = 394,351,344,676
  5. Step 5: Solve for x
    x = 394,351,344,676/289,861
  6. Step 6: Final answer
    x = 1,360,484.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.