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Finding the Third Proportional to 139,600 and 305,272

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Solution

The third proportional to 139,600 and 305,272 is: 667,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,600 : 305,272 = 305,272 : x
  2. Step 2: Convert to fraction form
    139,600/305,272 = 305,272/x
  3. Step 3: Cross multiply
    139,600x = 305,272 × 305,272
  4. Step 4: Simplify right side
    139,600x = 93,190,993,984
  5. Step 5: Solve for x
    x = 93,190,993,984/139,600
  6. Step 6: Final answer
    x = 667,557.26

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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.