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Finding the Third Proportional to 18,985 and 37,947

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Solution

The third proportional to 18,985 and 37,947 is: 75,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,985 : 37,947 = 37,947 : x
  2. Step 2: Convert to fraction form
    18,985/37,947 = 37,947/x
  3. Step 3: Cross multiply
    18,985x = 37,947 × 37,947
  4. Step 4: Simplify right side
    18,985x = 1,439,974,809
  5. Step 5: Solve for x
    x = 1,439,974,809/18,985
  6. Step 6: Final answer
    x = 75,848.03

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.