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Finding the Third Proportional to 286,088 and 628,190

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Solution

The third proportional to 286,088 and 628,190 is: 1,379,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,088 : 628,190 = 628,190 : x
  2. Step 2: Convert to fraction form
    286,088/628,190 = 628,190/x
  3. Step 3: Cross multiply
    286,088x = 628,190 × 628,190
  4. Step 4: Simplify right side
    286,088x = 394,622,676,100
  5. Step 5: Solve for x
    x = 394,622,676,100/286,088
  6. Step 6: Final answer
    x = 1,379,375.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.