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Finding the Third Proportional to 180,768 and 280,818

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Solution

The third proportional to 180,768 and 280,818 is: 436,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,768 : 280,818 = 280,818 : x
  2. Step 2: Convert to fraction form
    180,768/280,818 = 280,818/x
  3. Step 3: Cross multiply
    180,768x = 280,818 × 280,818
  4. Step 4: Simplify right side
    180,768x = 78,858,749,124
  5. Step 5: Solve for x
    x = 78,858,749,124/180,768
  6. Step 6: Final answer
    x = 436,242.86

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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.