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Finding the Third Proportional to 180,628 and 281,285

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Solution

The third proportional to 180,628 and 281,285 is: 438,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,628 : 281,285 = 281,285 : x
  2. Step 2: Convert to fraction form
    180,628/281,285 = 281,285/x
  3. Step 3: Cross multiply
    180,628x = 281,285 × 281,285
  4. Step 4: Simplify right side
    180,628x = 79,121,251,225
  5. Step 5: Solve for x
    x = 79,121,251,225/180,628
  6. Step 6: Final answer
    x = 438,034.25

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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.