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Finding the Third Proportional to 180,322 and 280,688

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Solution

The third proportional to 180,322 and 280,688 is: 436,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322 : 280,688 = 280,688 : x
  2. Step 2: Convert to fraction form
    180,322/280,688 = 280,688/x
  3. Step 3: Cross multiply
    180,322x = 280,688 × 280,688
  4. Step 4: Simplify right side
    180,322x = 78,785,753,344
  5. Step 5: Solve for x
    x = 78,785,753,344/180,322
  6. Step 6: Final answer
    x = 436,917.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.