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Finding the Third Proportional to 19,579 and 38,173

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Solution

The third proportional to 19,579 and 38,173 is: 74,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,579 : 38,173 = 38,173 : x
  2. Step 2: Convert to fraction form
    19,579/38,173 = 38,173/x
  3. Step 3: Cross multiply
    19,579x = 38,173 × 38,173
  4. Step 4: Simplify right side
    19,579x = 1,457,177,929
  5. Step 5: Solve for x
    x = 1,457,177,929/19,579
  6. Step 6: Final answer
    x = 74,425.55

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.