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Finding the Third Proportional to 288,512 and 613,888

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Solution

The third proportional to 288,512 and 613,888 is: 1,306,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,512 : 613,888 = 613,888 : x
  2. Step 2: Convert to fraction form
    288,512/613,888 = 613,888/x
  3. Step 3: Cross multiply
    288,512x = 613,888 × 613,888
  4. Step 4: Simplify right side
    288,512x = 376,858,476,544
  5. Step 5: Solve for x
    x = 376,858,476,544/288,512
  6. Step 6: Final answer
    x = 1,306,214.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.