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Finding the Third Proportional to 133,039 and 288,682

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Solution

The third proportional to 133,039 and 288,682 is: 626,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,039 : 288,682 = 288,682 : x
  2. Step 2: Convert to fraction form
    133,039/288,682 = 288,682/x
  3. Step 3: Cross multiply
    133,039x = 288,682 × 288,682
  4. Step 4: Simplify right side
    133,039x = 83,337,297,124
  5. Step 5: Solve for x
    x = 83,337,297,124/133,039
  6. Step 6: Final answer
    x = 626,412.53

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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.