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Finding the Third Proportional to 19,504 and 39,931

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Solution

The third proportional to 19,504 and 39,931 is: 81,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504 : 39,931 = 39,931 : x
  2. Step 2: Convert to fraction form
    19,504/39,931 = 39,931/x
  3. Step 3: Cross multiply
    19,504x = 39,931 × 39,931
  4. Step 4: Simplify right side
    19,504x = 1,594,484,761
  5. Step 5: Solve for x
    x = 1,594,484,761/19,504
  6. Step 6: Final answer
    x = 81,751.68

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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.