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Finding the Third Proportional to 177,998 and 388,818

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Solution

The third proportional to 177,998 and 388,818 is: 849,332.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,998 : 388,818 = 388,818 : x
  2. Step 2: Convert to fraction form
    177,998/388,818 = 388,818/x
  3. Step 3: Cross multiply
    177,998x = 388,818 × 388,818
  4. Step 4: Simplify right side
    177,998x = 151,179,437,124
  5. Step 5: Solve for x
    x = 151,179,437,124/177,998
  6. Step 6: Final answer
    x = 849,332.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.