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Finding the Third Proportional to 117,800 and 251,476

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Solution

The third proportional to 117,800 and 251,476 is: 536,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,800 : 251,476 = 251,476 : x
  2. Step 2: Convert to fraction form
    117,800/251,476 = 251,476/x
  3. Step 3: Cross multiply
    117,800x = 251,476 × 251,476
  4. Step 4: Simplify right side
    117,800x = 63,240,178,576
  5. Step 5: Solve for x
    x = 63,240,178,576/117,800
  6. Step 6: Final answer
    x = 536,843.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.