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Finding the Third Proportional to 418,146 and 628,161

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Solution

The third proportional to 418,146 and 628,161 is: 943,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,146 : 628,161 = 628,161 : x
  2. Step 2: Convert to fraction form
    418,146/628,161 = 628,161/x
  3. Step 3: Cross multiply
    418,146x = 628,161 × 628,161
  4. Step 4: Simplify right side
    418,146x = 394,586,241,921
  5. Step 5: Solve for x
    x = 394,586,241,921/418,146
  6. Step 6: Final answer
    x = 943,656.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.