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Finding the Third Proportional to 18,956 and 39,887

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Solution

The third proportional to 18,956 and 39,887 is: 83,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,956 : 39,887 = 39,887 : x
  2. Step 2: Convert to fraction form
    18,956/39,887 = 39,887/x
  3. Step 3: Cross multiply
    18,956x = 39,887 × 39,887
  4. Step 4: Simplify right side
    18,956x = 1,590,972,769
  5. Step 5: Solve for x
    x = 1,590,972,769/18,956
  6. Step 6: Final answer
    x = 83,929.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.