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Finding the Third Proportional to 177,218 and 388,883

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Solution

The third proportional to 177,218 and 388,883 is: 853,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,218 : 388,883 = 388,883 : x
  2. Step 2: Convert to fraction form
    177,218/388,883 = 388,883/x
  3. Step 3: Cross multiply
    177,218x = 388,883 × 388,883
  4. Step 4: Simplify right side
    177,218x = 151,229,987,689
  5. Step 5: Solve for x
    x = 151,229,987,689/177,218
  6. Step 6: Final answer
    x = 853,355.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.