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Finding the Third Proportional to 290,531 and 627,746

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Solution

The third proportional to 290,531 and 627,746 is: 1,356,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,531 : 627,746 = 627,746 : x
  2. Step 2: Convert to fraction form
    290,531/627,746 = 627,746/x
  3. Step 3: Cross multiply
    290,531x = 627,746 × 627,746
  4. Step 4: Simplify right side
    290,531x = 394,065,040,516
  5. Step 5: Solve for x
    x = 394,065,040,516/290,531
  6. Step 6: Final answer
    x = 1,356,361.42

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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.