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Finding the Third Proportional to 177,220 and 388,886

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Solution

The third proportional to 177,220 and 388,886 is: 853,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,220 : 388,886 = 388,886 : x
  2. Step 2: Convert to fraction form
    177,220/388,886 = 388,886/x
  3. Step 3: Cross multiply
    177,220x = 388,886 × 388,886
  4. Step 4: Simplify right side
    177,220x = 151,232,320,996
  5. Step 5: Solve for x
    x = 151,232,320,996/177,220
  6. Step 6: Final answer
    x = 853,359.22

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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.