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Finding the Third Proportional to 133,384 and 288,912

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Solution

The third proportional to 133,384 and 288,912 is: 625,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,384 : 288,912 = 288,912 : x
  2. Step 2: Convert to fraction form
    133,384/288,912 = 288,912/x
  3. Step 3: Cross multiply
    133,384x = 288,912 × 288,912
  4. Step 4: Simplify right side
    133,384x = 83,470,143,744
  5. Step 5: Solve for x
    x = 83,470,143,744/133,384
  6. Step 6: Final answer
    x = 625,788.28

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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.