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Finding the Third Proportional to 393,138 and 623,483

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Solution

The third proportional to 393,138 and 623,483 is: 988,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,138 : 623,483 = 623,483 : x
  2. Step 2: Convert to fraction form
    393,138/623,483 = 623,483/x
  3. Step 3: Cross multiply
    393,138x = 623,483 × 623,483
  4. Step 4: Simplify right side
    393,138x = 388,731,051,289
  5. Step 5: Solve for x
    x = 388,731,051,289/393,138
  6. Step 6: Final answer
    x = 988,790.33

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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.