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Finding the Third Proportional to 180,320 and 256,305

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Solution

The third proportional to 180,320 and 256,305 is: 364,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,320 : 256,305 = 256,305 : x
  2. Step 2: Convert to fraction form
    180,320/256,305 = 256,305/x
  3. Step 3: Cross multiply
    180,320x = 256,305 × 256,305
  4. Step 4: Simplify right side
    180,320x = 65,692,253,025
  5. Step 5: Solve for x
    x = 65,692,253,025/180,320
  6. Step 6: Final answer
    x = 364,309.30

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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.