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Finding the Third Proportional to 393,600 and 626,601

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Solution

The third proportional to 393,600 and 626,601 is: 997,532.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,600 : 626,601 = 626,601 : x
  2. Step 2: Convert to fraction form
    393,600/626,601 = 626,601/x
  3. Step 3: Cross multiply
    393,600x = 626,601 × 626,601
  4. Step 4: Simplify right side
    393,600x = 392,628,813,201
  5. Step 5: Solve for x
    x = 392,628,813,201/393,600
  6. Step 6: Final answer
    x = 997,532.55

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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.