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Finding the Third Proportional to 418,152 and 628,170

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Solution

The third proportional to 418,152 and 628,170 is: 943,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,152 : 628,170 = 628,170 : x
  2. Step 2: Convert to fraction form
    418,152/628,170 = 628,170/x
  3. Step 3: Cross multiply
    418,152x = 628,170 × 628,170
  4. Step 4: Simplify right side
    418,152x = 394,597,548,900
  5. Step 5: Solve for x
    x = 394,597,548,900/418,152
  6. Step 6: Final answer
    x = 943,670.12

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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.