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Finding the Third Proportional to 30,170 and 39,673

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Solution

The third proportional to 30,170 and 39,673 is: 52,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170 : 39,673 = 39,673 : x
  2. Step 2: Convert to fraction form
    30,170/39,673 = 39,673/x
  3. Step 3: Cross multiply
    30,170x = 39,673 × 39,673
  4. Step 4: Simplify right side
    30,170x = 1,573,946,929
  5. Step 5: Solve for x
    x = 1,573,946,929/30,170
  6. Step 6: Final answer
    x = 52,169.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.