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Finding the Third Proportional to 133,041 and 288,686

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Solution

The third proportional to 133,041 and 288,686 is: 626,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 288,686 = 288,686 : x
  2. Step 2: Convert to fraction form
    133,041/288,686 = 288,686/x
  3. Step 3: Cross multiply
    133,041x = 288,686 × 288,686
  4. Step 4: Simplify right side
    133,041x = 83,339,606,596
  5. Step 5: Solve for x
    x = 83,339,606,596/133,041
  6. Step 6: Final answer
    x = 626,420.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.