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Finding the Third Proportional to 70,045 and 149,930

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Solution

The third proportional to 70,045 and 149,930 is: 320,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,045 : 149,930 = 149,930 : x
  2. Step 2: Convert to fraction form
    70,045/149,930 = 149,930/x
  3. Step 3: Cross multiply
    70,045x = 149,930 × 149,930
  4. Step 4: Simplify right side
    70,045x = 22,479,004,900
  5. Step 5: Solve for x
    x = 22,479,004,900/70,045
  6. Step 6: Final answer
    x = 320,922.33

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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.