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Finding the Third Proportional to 49,720 and 74,620

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Solution

The third proportional to 49,720 and 74,620 is: 111,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,720 : 74,620 = 74,620 : x
  2. Step 2: Convert to fraction form
    49,720/74,620 = 74,620/x
  3. Step 3: Cross multiply
    49,720x = 74,620 × 74,620
  4. Step 4: Simplify right side
    49,720x = 5,568,144,400
  5. Step 5: Solve for x
    x = 5,568,144,400/49,720
  6. Step 6: Final answer
    x = 111,990.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.