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Finding the Third Proportional to 628,678 and 1,286,407

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Solution

The third proportional to 628,678 and 1,286,407 is: 2,632,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,678 : 1,286,407 = 1,286,407 : x
  2. Step 2: Convert to fraction form
    628,678/1,286,407 = 1,286,407/x
  3. Step 3: Cross multiply
    628,678x = 1,286,407 × 1,286,407
  4. Step 4: Simplify right side
    628,678x = 1,654,842,969,649
  5. Step 5: Solve for x
    x = 1,654,842,969,649/628,678
  6. Step 6: Final answer
    x = 2,632,258.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.