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Finding the Third Proportional to 287,361 and 627,209

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Solution

The third proportional to 287,361 and 627,209 is: 1,368,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,361 : 627,209 = 627,209 : x
  2. Step 2: Convert to fraction form
    287,361/627,209 = 627,209/x
  3. Step 3: Cross multiply
    287,361x = 627,209 × 627,209
  4. Step 4: Simplify right side
    287,361x = 393,391,129,681
  5. Step 5: Solve for x
    x = 393,391,129,681/287,361
  6. Step 6: Final answer
    x = 1,368,978.84

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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.