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Finding the Third Proportional to 177,276 and 388,992

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Solution

The third proportional to 177,276 and 388,992 is: 853,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,276 : 388,992 = 388,992 : x
  2. Step 2: Convert to fraction form
    177,276/388,992 = 388,992/x
  3. Step 3: Cross multiply
    177,276x = 388,992 × 388,992
  4. Step 4: Simplify right side
    177,276x = 151,314,776,064
  5. Step 5: Solve for x
    x = 151,314,776,064/177,276
  6. Step 6: Final answer
    x = 853,554.77

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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.