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Finding the Third Proportional to 12,516 and 20,130

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Solution

The third proportional to 12,516 and 20,130 is: 32,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516 : 20,130 = 20,130 : x
  2. Step 2: Convert to fraction form
    12,516/20,130 = 20,130/x
  3. Step 3: Cross multiply
    12,516x = 20,130 × 20,130
  4. Step 4: Simplify right side
    12,516x = 405,216,900
  5. Step 5: Solve for x
    x = 405,216,900/12,516
  6. Step 6: Final answer
    x = 32,375.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.