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Finding the Third Proportional to 137,800 and 281,444

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Solution

The third proportional to 137,800 and 281,444 is: 574,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,800 : 281,444 = 281,444 : x
  2. Step 2: Convert to fraction form
    137,800/281,444 = 281,444/x
  3. Step 3: Cross multiply
    137,800x = 281,444 × 281,444
  4. Step 4: Simplify right side
    137,800x = 79,210,725,136
  5. Step 5: Solve for x
    x = 79,210,725,136/137,800
  6. Step 6: Final answer
    x = 574,823.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.