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Finding the Third Proportional to 19,077 and 39,476

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Solution

The third proportional to 19,077 and 39,476 is: 81,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077 : 39,476 = 39,476 : x
  2. Step 2: Convert to fraction form
    19,077/39,476 = 39,476/x
  3. Step 3: Cross multiply
    19,077x = 39,476 × 39,476
  4. Step 4: Simplify right side
    19,077x = 1,558,354,576
  5. Step 5: Solve for x
    x = 1,558,354,576/19,077
  6. Step 6: Final answer
    x = 81,687.61

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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.