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Finding the Third Proportional to 301,214 and 627,400

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Solution

The third proportional to 301,214 and 627,400 is: 1,306,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,214 : 627,400 = 627,400 : x
  2. Step 2: Convert to fraction form
    301,214/627,400 = 627,400/x
  3. Step 3: Cross multiply
    301,214x = 627,400 × 627,400
  4. Step 4: Simplify right side
    301,214x = 393,630,760,000
  5. Step 5: Solve for x
    x = 393,630,760,000/301,214
  6. Step 6: Final answer
    x = 1,306,814.29

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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.