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Finding the Third Proportional to 49,800 and 82,476

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Solution

The third proportional to 49,800 and 82,476 is: 136,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,800 : 82,476 = 82,476 : x
  2. Step 2: Convert to fraction form
    49,800/82,476 = 82,476/x
  3. Step 3: Cross multiply
    49,800x = 82,476 × 82,476
  4. Step 4: Simplify right side
    49,800x = 6,802,290,576
  5. Step 5: Solve for x
    x = 6,802,290,576/49,800
  6. Step 6: Final answer
    x = 136,592.18

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.