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Finding the Third Proportional to 19,912 and 41,929

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Solution

The third proportional to 19,912 and 41,929 is: 88,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,912 : 41,929 = 41,929 : x
  2. Step 2: Convert to fraction form
    19,912/41,929 = 41,929/x
  3. Step 3: Cross multiply
    19,912x = 41,929 × 41,929
  4. Step 4: Simplify right side
    19,912x = 1,758,041,041
  5. Step 5: Solve for x
    x = 1,758,041,041/19,912
  6. Step 6: Final answer
    x = 88,290.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.