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Finding the Third Proportional to 19,218 and 41,400

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Solution

The third proportional to 19,218 and 41,400 is: 89,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,218 : 41,400 = 41,400 : x
  2. Step 2: Convert to fraction form
    19,218/41,400 = 41,400/x
  3. Step 3: Cross multiply
    19,218x = 41,400 × 41,400
  4. Step 4: Simplify right side
    19,218x = 1,713,960,000
  5. Step 5: Solve for x
    x = 1,713,960,000/19,218
  6. Step 6: Final answer
    x = 89,185.14

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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.