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Finding the Third Proportional to 180,366 and 280,373

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Solution

The third proportional to 180,366 and 280,373 is: 435,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,366 : 280,373 = 280,373 : x
  2. Step 2: Convert to fraction form
    180,366/280,373 = 280,373/x
  3. Step 3: Cross multiply
    180,366x = 280,373 × 280,373
  4. Step 4: Simplify right side
    180,366x = 78,609,019,129
  5. Step 5: Solve for x
    x = 78,609,019,129/180,366
  6. Step 6: Final answer
    x = 435,830.58

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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.