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Finding the Third Proportional to 177,460 and 387,036

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Solution

The third proportional to 177,460 and 387,036 is: 844,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,460 : 387,036 = 387,036 : x
  2. Step 2: Convert to fraction form
    177,460/387,036 = 387,036/x
  3. Step 3: Cross multiply
    177,460x = 387,036 × 387,036
  4. Step 4: Simplify right side
    177,460x = 149,796,865,296
  5. Step 5: Solve for x
    x = 149,796,865,296/177,460
  6. Step 6: Final answer
    x = 844,116.23

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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.