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Finding the Third Proportional to 30,443 and 61,723

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Solution

The third proportional to 30,443 and 61,723 is: 125,143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,443 : 61,723 = 61,723 : x
  2. Step 2: Convert to fraction form
    30,443/61,723 = 61,723/x
  3. Step 3: Cross multiply
    30,443x = 61,723 × 61,723
  4. Step 4: Simplify right side
    30,443x = 3,809,728,729
  5. Step 5: Solve for x
    x = 3,809,728,729/30,443
  6. Step 6: Final answer
    x = 125,143.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.