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Finding the Third Proportional to 287,651 and 627,214

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Solution

The third proportional to 287,651 and 627,214 is: 1,367,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,651 : 627,214 = 627,214 : x
  2. Step 2: Convert to fraction form
    287,651/627,214 = 627,214/x
  3. Step 3: Cross multiply
    287,651x = 627,214 × 627,214
  4. Step 4: Simplify right side
    287,651x = 393,397,401,796
  5. Step 5: Solve for x
    x = 393,397,401,796/287,651
  6. Step 6: Final answer
    x = 1,367,620.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.