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Finding the Third Proportional to 101,169 and 145,728

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Solution

The third proportional to 101,169 and 145,728 is: 209,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,169 : 145,728 = 145,728 : x
  2. Step 2: Convert to fraction form
    101,169/145,728 = 145,728/x
  3. Step 3: Cross multiply
    101,169x = 145,728 × 145,728
  4. Step 4: Simplify right side
    101,169x = 21,236,649,984
  5. Step 5: Solve for x
    x = 21,236,649,984/101,169
  6. Step 6: Final answer
    x = 209,912.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.