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Finding the Third Proportional to 149,930 and 322,091

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Solution

The third proportional to 149,930 and 322,091 is: 691,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,930 : 322,091 = 322,091 : x
  2. Step 2: Convert to fraction form
    149,930/322,091 = 322,091/x
  3. Step 3: Cross multiply
    149,930x = 322,091 × 322,091
  4. Step 4: Simplify right side
    149,930x = 103,742,612,281
  5. Step 5: Solve for x
    x = 103,742,612,281/149,930
  6. Step 6: Final answer
    x = 691,940.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.