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Finding the Third Proportional to 30,722 and 74,057

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Solution

The third proportional to 30,722 and 74,057 is: 178,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722 : 74,057 = 74,057 : x
  2. Step 2: Convert to fraction form
    30,722/74,057 = 74,057/x
  3. Step 3: Cross multiply
    30,722x = 74,057 × 74,057
  4. Step 4: Simplify right side
    30,722x = 5,484,439,249
  5. Step 5: Solve for x
    x = 5,484,439,249/30,722
  6. Step 6: Final answer
    x = 178,518.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.