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Finding the Third Proportional to 177,802 and 388,798

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Solution

The third proportional to 177,802 and 388,798 is: 850,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,802 : 388,798 = 388,798 : x
  2. Step 2: Convert to fraction form
    177,802/388,798 = 388,798/x
  3. Step 3: Cross multiply
    177,802x = 388,798 × 388,798
  4. Step 4: Simplify right side
    177,802x = 151,163,884,804
  5. Step 5: Solve for x
    x = 151,163,884,804/177,802
  6. Step 6: Final answer
    x = 850,181.01

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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.