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Finding the Third Proportional to 289,278 and 627,762

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Solution

The third proportional to 289,278 and 627,762 is: 1,362,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,278 : 627,762 = 627,762 : x
  2. Step 2: Convert to fraction form
    289,278/627,762 = 627,762/x
  3. Step 3: Cross multiply
    289,278x = 627,762 × 627,762
  4. Step 4: Simplify right side
    289,278x = 394,085,128,644
  5. Step 5: Solve for x
    x = 394,085,128,644/289,278
  6. Step 6: Final answer
    x = 1,362,305.91

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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.