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Finding the Third Proportional to 177,225 and 388,897

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Solution

The third proportional to 177,225 and 388,897 is: 853,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,225 : 388,897 = 388,897 : x
  2. Step 2: Convert to fraction form
    177,225/388,897 = 388,897/x
  3. Step 3: Cross multiply
    177,225x = 388,897 × 388,897
  4. Step 4: Simplify right side
    177,225x = 151,240,876,609
  5. Step 5: Solve for x
    x = 151,240,876,609/177,225
  6. Step 6: Final answer
    x = 853,383.42

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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.