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Finding the Third Proportional to 111,283 and 247,444

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Solution

The third proportional to 111,283 and 247,444 is: 550,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,283 : 247,444 = 247,444 : x
  2. Step 2: Convert to fraction form
    111,283/247,444 = 247,444/x
  3. Step 3: Cross multiply
    111,283x = 247,444 × 247,444
  4. Step 4: Simplify right side
    111,283x = 61,228,533,136
  5. Step 5: Solve for x
    x = 61,228,533,136/111,283
  6. Step 6: Final answer
    x = 550,205.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.