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Finding the Third Proportional to 19,239 and 39,434

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Solution

The third proportional to 19,239 and 39,434 is: 80,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,239 : 39,434 = 39,434 : x
  2. Step 2: Convert to fraction form
    19,239/39,434 = 39,434/x
  3. Step 3: Cross multiply
    19,239x = 39,434 × 39,434
  4. Step 4: Simplify right side
    19,239x = 1,555,040,356
  5. Step 5: Solve for x
    x = 1,555,040,356/19,239
  6. Step 6: Final answer
    x = 80,827.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.