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Finding the Third Proportional to 8,103 and 10,887

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Solution

The third proportional to 8,103 and 10,887 is: 14,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103 : 10,887 = 10,887 : x
  2. Step 2: Convert to fraction form
    8,103/10,887 = 10,887/x
  3. Step 3: Cross multiply
    8,103x = 10,887 × 10,887
  4. Step 4: Simplify right side
    8,103x = 118,526,769
  5. Step 5: Solve for x
    x = 118,526,769/8,103
  6. Step 6: Final answer
    x = 14,627.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.