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Finding the Third Proportional to 180,128 and 270,288

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Solution

The third proportional to 180,128 and 270,288 is: 405,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,128 : 270,288 = 270,288 : x
  2. Step 2: Convert to fraction form
    180,128/270,288 = 270,288/x
  3. Step 3: Cross multiply
    180,128x = 270,288 × 270,288
  4. Step 4: Simplify right side
    180,128x = 73,055,602,944
  5. Step 5: Solve for x
    x = 73,055,602,944/180,128
  6. Step 6: Final answer
    x = 405,576.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.