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Finding the Third Proportional to 30,069 and 49,131

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Solution

The third proportional to 30,069 and 49,131 is: 80,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069 : 49,131 = 49,131 : x
  2. Step 2: Convert to fraction form
    30,069/49,131 = 49,131/x
  3. Step 3: Cross multiply
    30,069x = 49,131 × 49,131
  4. Step 4: Simplify right side
    30,069x = 2,413,855,161
  5. Step 5: Solve for x
    x = 2,413,855,161/30,069
  6. Step 6: Final answer
    x = 80,277.20

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.