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Finding the Third Proportional to 301,229 and 627,430

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Solution

The third proportional to 301,229 and 627,430 is: 1,306,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,229 : 627,430 = 627,430 : x
  2. Step 2: Convert to fraction form
    301,229/627,430 = 627,430/x
  3. Step 3: Cross multiply
    301,229x = 627,430 × 627,430
  4. Step 4: Simplify right side
    301,229x = 393,668,404,900
  5. Step 5: Solve for x
    x = 393,668,404,900/301,229
  6. Step 6: Final answer
    x = 1,306,874.19

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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.