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Finding the Third Proportional to 19,205 and 39,742

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Solution

The third proportional to 19,205 and 39,742 is: 82,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205 : 39,742 = 39,742 : x
  2. Step 2: Convert to fraction form
    19,205/39,742 = 39,742/x
  3. Step 3: Cross multiply
    19,205x = 39,742 × 39,742
  4. Step 4: Simplify right side
    19,205x = 1,579,426,564
  5. Step 5: Solve for x
    x = 1,579,426,564/19,205
  6. Step 6: Final answer
    x = 82,240.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.