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Finding the Third Proportional to 290,985 and 627,843

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Solution

The third proportional to 290,985 and 627,843 is: 1,354,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,985 : 627,843 = 627,843 : x
  2. Step 2: Convert to fraction form
    290,985/627,843 = 627,843/x
  3. Step 3: Cross multiply
    290,985x = 627,843 × 627,843
  4. Step 4: Simplify right side
    290,985x = 394,186,832,649
  5. Step 5: Solve for x
    x = 394,186,832,649/290,985
  6. Step 6: Final answer
    x = 1,354,663.75

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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.