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Finding the Third Proportional to 393,086 and 623,438

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Solution

The third proportional to 393,086 and 623,438 is: 988,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,086 : 623,438 = 623,438 : x
  2. Step 2: Convert to fraction form
    393,086/623,438 = 623,438/x
  3. Step 3: Cross multiply
    393,086x = 623,438 × 623,438
  4. Step 4: Simplify right side
    393,086x = 388,674,939,844
  5. Step 5: Solve for x
    x = 388,674,939,844/393,086
  6. Step 6: Final answer
    x = 988,778.38

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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.