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Finding the Third Proportional to 301,490 and 627,790

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Solution

The third proportional to 301,490 and 627,790 is: 1,307,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,490 : 627,790 = 627,790 : x
  2. Step 2: Convert to fraction form
    301,490/627,790 = 627,790/x
  3. Step 3: Cross multiply
    301,490x = 627,790 × 627,790
  4. Step 4: Simplify right side
    301,490x = 394,120,284,100
  5. Step 5: Solve for x
    x = 394,120,284,100/301,490
  6. Step 6: Final answer
    x = 1,307,241.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.