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Finding the Third Proportional to 139,369 and 305,803

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Solution

The third proportional to 139,369 and 305,803 is: 670,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,369 : 305,803 = 305,803 : x
  2. Step 2: Convert to fraction form
    139,369/305,803 = 305,803/x
  3. Step 3: Cross multiply
    139,369x = 305,803 × 305,803
  4. Step 4: Simplify right side
    139,369x = 93,515,474,809
  5. Step 5: Solve for x
    x = 93,515,474,809/139,369
  6. Step 6: Final answer
    x = 670,991.93

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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.