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Finding the Third Proportional to 188,675 and 280,447

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Solution

The third proportional to 188,675 and 280,447 is: 416,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,675 : 280,447 = 280,447 : x
  2. Step 2: Convert to fraction form
    188,675/280,447 = 280,447/x
  3. Step 3: Cross multiply
    188,675x = 280,447 × 280,447
  4. Step 4: Simplify right side
    188,675x = 78,650,519,809
  5. Step 5: Solve for x
    x = 78,650,519,809/188,675
  6. Step 6: Final answer
    x = 416,857.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.