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Finding the Third Proportional to 74,169 and 150,930

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Solution

The third proportional to 74,169 and 150,930 is: 307,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,169 : 150,930 = 150,930 : x
  2. Step 2: Convert to fraction form
    74,169/150,930 = 150,930/x
  3. Step 3: Cross multiply
    74,169x = 150,930 × 150,930
  4. Step 4: Simplify right side
    74,169x = 22,779,864,900
  5. Step 5: Solve for x
    x = 22,779,864,900/74,169
  6. Step 6: Final answer
    x = 307,134.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.