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Finding the Third Proportional to 30,811 and 49,605

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Solution

The third proportional to 30,811 and 49,605 is: 79,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811 : 49,605 = 49,605 : x
  2. Step 2: Convert to fraction form
    30,811/49,605 = 49,605/x
  3. Step 3: Cross multiply
    30,811x = 49,605 × 49,605
  4. Step 4: Simplify right side
    30,811x = 2,460,656,025
  5. Step 5: Solve for x
    x = 2,460,656,025/30,811
  6. Step 6: Final answer
    x = 79,862.91

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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.