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Finding the Third Proportional to 19,859 and 39,214

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Solution

The third proportional to 19,859 and 39,214 is: 77,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859 : 39,214 = 39,214 : x
  2. Step 2: Convert to fraction form
    19,859/39,214 = 39,214/x
  3. Step 3: Cross multiply
    19,859x = 39,214 × 39,214
  4. Step 4: Simplify right side
    19,859x = 1,537,737,796
  5. Step 5: Solve for x
    x = 1,537,737,796/19,859
  6. Step 6: Final answer
    x = 77,432.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.