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Finding the Third Proportional to 306,735 and 628,347

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Solution

The third proportional to 306,735 and 628,347 is: 1,287,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,735 : 628,347 = 628,347 : x
  2. Step 2: Convert to fraction form
    306,735/628,347 = 628,347/x
  3. Step 3: Cross multiply
    306,735x = 628,347 × 628,347
  4. Step 4: Simplify right side
    306,735x = 394,819,952,409
  5. Step 5: Solve for x
    x = 394,819,952,409/306,735
  6. Step 6: Final answer
    x = 1,287,169.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.