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Finding the Third Proportional to 6,209 and 12,643

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Solution

The third proportional to 6,209 and 12,643 is: 25,744.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209 : 12,643 = 12,643 : x
  2. Step 2: Convert to fraction form
    6,209/12,643 = 12,643/x
  3. Step 3: Cross multiply
    6,209x = 12,643 × 12,643
  4. Step 4: Simplify right side
    6,209x = 159,845,449
  5. Step 5: Solve for x
    x = 159,845,449/6,209
  6. Step 6: Final answer
    x = 25,744.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.