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Finding the Third Proportional to 128,054 and 180,255

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Solution

The third proportional to 128,054 and 180,255 is: 253,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,054 : 180,255 = 180,255 : x
  2. Step 2: Convert to fraction form
    128,054/180,255 = 180,255/x
  3. Step 3: Cross multiply
    128,054x = 180,255 × 180,255
  4. Step 4: Simplify right side
    128,054x = 32,491,865,025
  5. Step 5: Solve for x
    x = 32,491,865,025/128,054
  6. Step 6: Final answer
    x = 253,735.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.