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Finding the Third Proportional to 8,777 and 13,135

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Solution

The third proportional to 8,777 and 13,135 is: 19,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777 : 13,135 = 13,135 : x
  2. Step 2: Convert to fraction form
    8,777/13,135 = 13,135/x
  3. Step 3: Cross multiply
    8,777x = 13,135 × 13,135
  4. Step 4: Simplify right side
    8,777x = 172,528,225
  5. Step 5: Solve for x
    x = 172,528,225/8,777
  6. Step 6: Final answer
    x = 19,656.86

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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.