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Finding the Third Proportional to 475,206 and 628,137

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Solution

The third proportional to 475,206 and 628,137 is: 830,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,206 : 628,137 = 628,137 : x
  2. Step 2: Convert to fraction form
    475,206/628,137 = 628,137/x
  3. Step 3: Cross multiply
    475,206x = 628,137 × 628,137
  4. Step 4: Simplify right side
    475,206x = 394,556,090,769
  5. Step 5: Solve for x
    x = 394,556,090,769/475,206
  6. Step 6: Final answer
    x = 830,284.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.