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Finding the Third Proportional to 180,380 and 280,396

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Solution

The third proportional to 180,380 and 280,396 is: 435,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,380 : 280,396 = 280,396 : x
  2. Step 2: Convert to fraction form
    180,380/280,396 = 280,396/x
  3. Step 3: Cross multiply
    180,380x = 280,396 × 280,396
  4. Step 4: Simplify right side
    180,380x = 78,621,916,816
  5. Step 5: Solve for x
    x = 78,621,916,816/180,380
  6. Step 6: Final answer
    x = 435,868.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.