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Finding the Third Proportional to 139,057 and 304,249

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Solution

The third proportional to 139,057 and 304,249 is: 665,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,057 : 304,249 = 304,249 : x
  2. Step 2: Convert to fraction form
    139,057/304,249 = 304,249/x
  3. Step 3: Cross multiply
    139,057x = 304,249 × 304,249
  4. Step 4: Simplify right side
    139,057x = 92,567,454,001
  5. Step 5: Solve for x
    x = 92,567,454,001/139,057
  6. Step 6: Final answer
    x = 665,679.93

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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.