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Finding the Third Proportional to 149,794 and 320,036

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Solution

The third proportional to 149,794 and 320,036 is: 683,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,794 : 320,036 = 320,036 : x
  2. Step 2: Convert to fraction form
    149,794/320,036 = 320,036/x
  3. Step 3: Cross multiply
    149,794x = 320,036 × 320,036
  4. Step 4: Simplify right side
    149,794x = 102,423,041,296
  5. Step 5: Solve for x
    x = 102,423,041,296/149,794
  6. Step 6: Final answer
    x = 683,759.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.