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Finding the Third Proportional to 393,620 and 626,631

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Solution

The third proportional to 393,620 and 626,631 is: 997,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,620 : 626,631 = 626,631 : x
  2. Step 2: Convert to fraction form
    393,620/626,631 = 626,631/x
  3. Step 3: Cross multiply
    393,620x = 626,631 × 626,631
  4. Step 4: Simplify right side
    393,620x = 392,666,410,161
  5. Step 5: Solve for x
    x = 392,666,410,161/393,620
  6. Step 6: Final answer
    x = 997,577.38

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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.