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Finding the Third Proportional to 19,000 and 40,804

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Solution

The third proportional to 19,000 and 40,804 is: 87,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000 : 40,804 = 40,804 : x
  2. Step 2: Convert to fraction form
    19,000/40,804 = 40,804/x
  3. Step 3: Cross multiply
    19,000x = 40,804 × 40,804
  4. Step 4: Simplify right side
    19,000x = 1,664,966,416
  5. Step 5: Solve for x
    x = 1,664,966,416/19,000
  6. Step 6: Final answer
    x = 87,629.81

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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.