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Finding the Third Proportional to 180,322 and 256,307

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Solution

The third proportional to 180,322 and 256,307 is: 364,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,322 : 256,307 = 256,307 : x
  2. Step 2: Convert to fraction form
    180,322/256,307 = 256,307/x
  3. Step 3: Cross multiply
    180,322x = 256,307 × 256,307
  4. Step 4: Simplify right side
    180,322x = 65,693,278,249
  5. Step 5: Solve for x
    x = 65,693,278,249/180,322
  6. Step 6: Final answer
    x = 364,310.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.