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Finding the Third Proportional to 18,058 and 19,786

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Solution

The third proportional to 18,058 and 19,786 is: 21,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,058 : 19,786 = 19,786 : x
  2. Step 2: Convert to fraction form
    18,058/19,786 = 19,786/x
  3. Step 3: Cross multiply
    18,058x = 19,786 × 19,786
  4. Step 4: Simplify right side
    18,058x = 391,485,796
  5. Step 5: Solve for x
    x = 391,485,796/18,058
  6. Step 6: Final answer
    x = 21,679.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.