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Finding the Third Proportional to 133,629 and 288,144

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Solution

The third proportional to 133,629 and 288,144 is: 621,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,629 : 288,144 = 288,144 : x
  2. Step 2: Convert to fraction form
    133,629/288,144 = 288,144/x
  3. Step 3: Cross multiply
    133,629x = 288,144 × 288,144
  4. Step 4: Simplify right side
    133,629x = 83,026,964,736
  5. Step 5: Solve for x
    x = 83,026,964,736/133,629
  6. Step 6: Final answer
    x = 621,324.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.