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Finding the Third Proportional to 180,370 and 280,380

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Solution

The third proportional to 180,370 and 280,380 is: 435,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,370 : 280,380 = 280,380 : x
  2. Step 2: Convert to fraction form
    180,370/280,380 = 280,380/x
  3. Step 3: Cross multiply
    180,370x = 280,380 × 280,380
  4. Step 4: Simplify right side
    180,370x = 78,612,944,400
  5. Step 5: Solve for x
    x = 78,612,944,400/180,370
  6. Step 6: Final answer
    x = 435,842.68

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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.