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Finding the Third Proportional to 301,869 and 628,541

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Solution

The third proportional to 301,869 and 628,541 is: 1,308,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,869 : 628,541 = 628,541 : x
  2. Step 2: Convert to fraction form
    301,869/628,541 = 628,541/x
  3. Step 3: Cross multiply
    301,869x = 628,541 × 628,541
  4. Step 4: Simplify right side
    301,869x = 395,063,788,681
  5. Step 5: Solve for x
    x = 395,063,788,681/301,869
  6. Step 6: Final answer
    x = 1,308,725.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.