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Finding the Third Proportional to 393,041 and 623,366

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Solution

The third proportional to 393,041 and 623,366 is: 988,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,041 : 623,366 = 623,366 : x
  2. Step 2: Convert to fraction form
    393,041/623,366 = 623,366/x
  3. Step 3: Cross multiply
    393,041x = 623,366 × 623,366
  4. Step 4: Simplify right side
    393,041x = 388,585,169,956
  5. Step 5: Solve for x
    x = 388,585,169,956/393,041
  6. Step 6: Final answer
    x = 988,663.19

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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.