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Finding the Third Proportional to 177,787 and 388,783

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Solution

The third proportional to 177,787 and 388,783 is: 850,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,787 : 388,783 = 388,783 : x
  2. Step 2: Convert to fraction form
    177,787/388,783 = 388,783/x
  3. Step 3: Cross multiply
    177,787x = 388,783 × 388,783
  4. Step 4: Simplify right side
    177,787x = 151,152,221,089
  5. Step 5: Solve for x
    x = 151,152,221,089/177,787
  6. Step 6: Final answer
    x = 850,187.14

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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.