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Finding the Third Proportional to 286,028 and 628,070

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Solution

The third proportional to 286,028 and 628,070 is: 1,379,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,028 : 628,070 = 628,070 : x
  2. Step 2: Convert to fraction form
    286,028/628,070 = 628,070/x
  3. Step 3: Cross multiply
    286,028x = 628,070 × 628,070
  4. Step 4: Simplify right side
    286,028x = 394,471,924,900
  5. Step 5: Solve for x
    x = 394,471,924,900/286,028
  6. Step 6: Final answer
    x = 1,379,137.44

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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.