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Finding the Third Proportional to 101,770 and 149,009

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Solution

The third proportional to 101,770 and 149,009 is: 218,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,770 : 149,009 = 149,009 : x
  2. Step 2: Convert to fraction form
    101,770/149,009 = 149,009/x
  3. Step 3: Cross multiply
    101,770x = 149,009 × 149,009
  4. Step 4: Simplify right side
    101,770x = 22,203,682,081
  5. Step 5: Solve for x
    x = 22,203,682,081/101,770
  6. Step 6: Final answer
    x = 218,175.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.