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Finding the Third Proportional to 18,472 and 37,912

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Solution

The third proportional to 18,472 and 37,912 is: 77,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472 : 37,912 = 37,912 : x
  2. Step 2: Convert to fraction form
    18,472/37,912 = 37,912/x
  3. Step 3: Cross multiply
    18,472x = 37,912 × 37,912
  4. Step 4: Simplify right side
    18,472x = 1,437,319,744
  5. Step 5: Solve for x
    x = 1,437,319,744/18,472
  6. Step 6: Final answer
    x = 77,810.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.