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Finding the Third Proportional to 301,688 and 628,406

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Solution

The third proportional to 301,688 and 628,406 is: 1,308,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,688 : 628,406 = 628,406 : x
  2. Step 2: Convert to fraction form
    301,688/628,406 = 628,406/x
  3. Step 3: Cross multiply
    301,688x = 628,406 × 628,406
  4. Step 4: Simplify right side
    301,688x = 394,894,100,836
  5. Step 5: Solve for x
    x = 394,894,100,836/301,688
  6. Step 6: Final answer
    x = 1,308,948.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.