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Finding the Third Proportional to 289,859 and 627,970

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Solution

The third proportional to 289,859 and 627,970 is: 1,360,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,859 : 627,970 = 627,970 : x
  2. Step 2: Convert to fraction form
    289,859/627,970 = 627,970/x
  3. Step 3: Cross multiply
    289,859x = 627,970 × 627,970
  4. Step 4: Simplify right side
    289,859x = 394,346,320,900
  5. Step 5: Solve for x
    x = 394,346,320,900/289,859
  6. Step 6: Final answer
    x = 1,360,476.37

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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.