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Finding the Third Proportional to 287,649 and 627,210

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Solution

The third proportional to 287,649 and 627,210 is: 1,367,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,649 : 627,210 = 627,210 : x
  2. Step 2: Convert to fraction form
    287,649/627,210 = 627,210/x
  3. Step 3: Cross multiply
    287,649x = 627,210 × 627,210
  4. Step 4: Simplify right side
    287,649x = 393,392,384,100
  5. Step 5: Solve for x
    x = 393,392,384,100/287,649
  6. Step 6: Final answer
    x = 1,367,612.56

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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.