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Finding the Third Proportional to 8,773 and 13,129

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Solution

The third proportional to 8,773 and 13,129 is: 19,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,773 : 13,129 = 13,129 : x
  2. Step 2: Convert to fraction form
    8,773/13,129 = 13,129/x
  3. Step 3: Cross multiply
    8,773x = 13,129 × 13,129
  4. Step 4: Simplify right side
    8,773x = 172,370,641
  5. Step 5: Solve for x
    x = 172,370,641/8,773
  6. Step 6: Final answer
    x = 19,647.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.