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Finding the Third Proportional to 8,520.19 and 13,190.34

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Solution

The third proportional to 8,520.19 and 13,190.34 is: 20,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.19 : 13,190.34 = 13,190.34 : x
  2. Step 2: Convert to fraction form
    8,520.19/13,190.34 = 13,190.34/x
  3. Step 3: Cross multiply
    8,520.19x = 13,190.34 × 13,190.34
  4. Step 4: Simplify right side
    8,520.19x = 173,985,168.24
  5. Step 5: Solve for x
    x = 173,985,168.24/8,520.19
  6. Step 6: Final answer
    x = 20,420.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.