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Finding the Third Proportional to 133,888 and 288,504

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Solution

The third proportional to 133,888 and 288,504 is: 621,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,888 : 288,504 = 288,504 : x
  2. Step 2: Convert to fraction form
    133,888/288,504 = 288,504/x
  3. Step 3: Cross multiply
    133,888x = 288,504 × 288,504
  4. Step 4: Simplify right side
    133,888x = 83,234,558,016
  5. Step 5: Solve for x
    x = 83,234,558,016/133,888
  6. Step 6: Final answer
    x = 621,673.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.