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Finding the Third Proportional to 177,897 and 388,623

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Solution

The third proportional to 177,897 and 388,623 is: 848,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,897 : 388,623 = 388,623 : x
  2. Step 2: Convert to fraction form
    177,897/388,623 = 388,623/x
  3. Step 3: Cross multiply
    177,897x = 388,623 × 388,623
  4. Step 4: Simplify right side
    177,897x = 151,027,836,129
  5. Step 5: Solve for x
    x = 151,027,836,129/177,897
  6. Step 6: Final answer
    x = 848,962.24

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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.