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Finding the Third Proportional to 19,019 and 40,495

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Solution

The third proportional to 19,019 and 40,495 is: 86,221.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019 : 40,495 = 40,495 : x
  2. Step 2: Convert to fraction form
    19,019/40,495 = 40,495/x
  3. Step 3: Cross multiply
    19,019x = 40,495 × 40,495
  4. Step 4: Simplify right side
    19,019x = 1,639,845,025
  5. Step 5: Solve for x
    x = 1,639,845,025/19,019
  6. Step 6: Final answer
    x = 86,221.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.