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Finding the Third Proportional to 34,009 and 72,135

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Solution

The third proportional to 34,009 and 72,135 is: 153,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009 : 72,135 = 72,135 : x
  2. Step 2: Convert to fraction form
    34,009/72,135 = 72,135/x
  3. Step 3: Cross multiply
    34,009x = 72,135 × 72,135
  4. Step 4: Simplify right side
    34,009x = 5,203,458,225
  5. Step 5: Solve for x
    x = 5,203,458,225/34,009
  6. Step 6: Final answer
    x = 153,002.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.