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Finding the Third Proportional to 306,764 and 628,402

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Solution

The third proportional to 306,764 and 628,402 is: 1,287,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,764 : 628,402 = 628,402 : x
  2. Step 2: Convert to fraction form
    306,764/628,402 = 628,402/x
  3. Step 3: Cross multiply
    306,764x = 628,402 × 628,402
  4. Step 4: Simplify right side
    306,764x = 394,889,073,604
  5. Step 5: Solve for x
    x = 394,889,073,604/306,764
  6. Step 6: Final answer
    x = 1,287,273.19

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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.