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Finding the Third Proportional to 19,509 and 41,979

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Solution

The third proportional to 19,509 and 41,979 is: 90,329.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509 : 41,979 = 41,979 : x
  2. Step 2: Convert to fraction form
    19,509/41,979 = 41,979/x
  3. Step 3: Cross multiply
    19,509x = 41,979 × 41,979
  4. Step 4: Simplify right side
    19,509x = 1,762,236,441
  5. Step 5: Solve for x
    x = 1,762,236,441/19,509
  6. Step 6: Final answer
    x = 90,329.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.