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Finding the Third Proportional to 301,218 and 627,406

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Solution

The third proportional to 301,218 and 627,406 is: 1,306,821.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,218 : 627,406 = 627,406 : x
  2. Step 2: Convert to fraction form
    301,218/627,406 = 627,406/x
  3. Step 3: Cross multiply
    301,218x = 627,406 × 627,406
  4. Step 4: Simplify right side
    301,218x = 393,638,288,836
  5. Step 5: Solve for x
    x = 393,638,288,836/301,218
  6. Step 6: Final answer
    x = 1,306,821.93

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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.