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Finding the Third Proportional to 393,652 and 626,676

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Solution

The third proportional to 393,652 and 626,676 is: 997,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,652 : 626,676 = 626,676 : x
  2. Step 2: Convert to fraction form
    393,652/626,676 = 626,676/x
  3. Step 3: Cross multiply
    393,652x = 626,676 × 626,676
  4. Step 4: Simplify right side
    393,652x = 392,722,808,976
  5. Step 5: Solve for x
    x = 392,722,808,976/393,652
  6. Step 6: Final answer
    x = 997,639.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.