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Finding the Third Proportional to 292,256 and 628,864

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Solution

The third proportional to 292,256 and 628,864 is: 1,353,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,256 : 628,864 = 628,864 : x
  2. Step 2: Convert to fraction form
    292,256/628,864 = 628,864/x
  3. Step 3: Cross multiply
    292,256x = 628,864 × 628,864
  4. Step 4: Simplify right side
    292,256x = 395,469,930,496
  5. Step 5: Solve for x
    x = 395,469,930,496/292,256
  6. Step 6: Final answer
    x = 1,353,162.74

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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.