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Finding the Third Proportional to 19,907 and 27,903

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Solution

The third proportional to 19,907 and 27,903 is: 39,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907 : 27,903 = 27,903 : x
  2. Step 2: Convert to fraction form
    19,907/27,903 = 27,903/x
  3. Step 3: Cross multiply
    19,907x = 27,903 × 27,903
  4. Step 4: Simplify right side
    19,907x = 778,577,409
  5. Step 5: Solve for x
    x = 778,577,409/19,907
  6. Step 6: Final answer
    x = 39,110.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.