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Finding the Third Proportional to 20,130 and 41,389

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Solution

The third proportional to 20,130 and 41,389 is: 85,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130 : 41,389 = 41,389 : x
  2. Step 2: Convert to fraction form
    20,130/41,389 = 41,389/x
  3. Step 3: Cross multiply
    20,130x = 41,389 × 41,389
  4. Step 4: Simplify right side
    20,130x = 1,713,049,321
  5. Step 5: Solve for x
    x = 1,713,049,321/20,130
  6. Step 6: Final answer
    x = 85,099.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.