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Finding the Third Proportional to 139,584 and 305,244

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Solution

The third proportional to 139,584 and 305,244 is: 667,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,584 : 305,244 = 305,244 : x
  2. Step 2: Convert to fraction form
    139,584/305,244 = 305,244/x
  3. Step 3: Cross multiply
    139,584x = 305,244 × 305,244
  4. Step 4: Simplify right side
    139,584x = 93,173,899,536
  5. Step 5: Solve for x
    x = 93,173,899,536/139,584
  6. Step 6: Final answer
    x = 667,511.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.