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Finding the Third Proportional to 13,120.10 and 20,522.11

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Solution

The third proportional to 13,120.10 and 20,522.11 is: 32,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.10 : 20,522.11 = 20,522.11 : x
  2. Step 2: Convert to fraction form
    13,120.10/20,522.11 = 20,522.11/x
  3. Step 3: Cross multiply
    13,120.10x = 20,522.11 × 20,522.11
  4. Step 4: Simplify right side
    13,120.10x = 421,156,973.20
  5. Step 5: Solve for x
    x = 421,156,973.20/13,120.10
  6. Step 6: Final answer
    x = 32,100.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.