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Finding the Third Proportional to 2,643 and 4,057

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Solution

The third proportional to 2,643 and 4,057 is: 6,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643 : 4,057 = 4,057 : x
  2. Step 2: Convert to fraction form
    2,643/4,057 = 4,057/x
  3. Step 3: Cross multiply
    2,643x = 4,057 × 4,057
  4. Step 4: Simplify right side
    2,643x = 16,459,249
  5. Step 5: Solve for x
    x = 16,459,249/2,643
  6. Step 6: Final answer
    x = 6,227.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.