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Finding the Third Proportional to 19,087 and 38,713

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Solution

The third proportional to 19,087 and 38,713 is: 78,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,087 : 38,713 = 38,713 : x
  2. Step 2: Convert to fraction form
    19,087/38,713 = 38,713/x
  3. Step 3: Cross multiply
    19,087x = 38,713 × 38,713
  4. Step 4: Simplify right side
    19,087x = 1,498,696,369
  5. Step 5: Solve for x
    x = 1,498,696,369/19,087
  6. Step 6: Final answer
    x = 78,519.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.