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Finding the Third Proportional to 8,426 and 19,643

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Solution

The third proportional to 8,426 and 19,643 is: 45,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426 : 19,643 = 19,643 : x
  2. Step 2: Convert to fraction form
    8,426/19,643 = 19,643/x
  3. Step 3: Cross multiply
    8,426x = 19,643 × 19,643
  4. Step 4: Simplify right side
    8,426x = 385,847,449
  5. Step 5: Solve for x
    x = 385,847,449/8,426
  6. Step 6: Final answer
    x = 45,792.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.