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Finding the Third Proportional to 13,887 and 19,791.56

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Solution

The third proportional to 13,887 and 19,791.56 is: 28,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887 : 19,791.56 = 19,791.56 : x
  2. Step 2: Convert to fraction form
    13,887/19,791.56 = 19,791.56/x
  3. Step 3: Cross multiply
    13,887x = 19,791.56 × 19,791.56
  4. Step 4: Simplify right side
    13,887x = 391,705,946.19
  5. Step 5: Solve for x
    x = 391,705,946.19/13,887
  6. Step 6: Final answer
    x = 28,206.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.