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Finding the Third Proportional to 19,053 and 41,286

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Solution

The third proportional to 19,053 and 41,286 is: 89,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,053 : 41,286 = 41,286 : x
  2. Step 2: Convert to fraction form
    19,053/41,286 = 41,286/x
  3. Step 3: Cross multiply
    19,053x = 41,286 × 41,286
  4. Step 4: Simplify right side
    19,053x = 1,704,533,796
  5. Step 5: Solve for x
    x = 1,704,533,796/19,053
  6. Step 6: Final answer
    x = 89,462.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.