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Finding the Third Proportional to 177,904 and 388,640

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Solution

The third proportional to 177,904 and 388,640 is: 849,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,904 : 388,640 = 388,640 : x
  2. Step 2: Convert to fraction form
    177,904/388,640 = 388,640/x
  3. Step 3: Cross multiply
    177,904x = 388,640 × 388,640
  4. Step 4: Simplify right side
    177,904x = 151,041,049,600
  5. Step 5: Solve for x
    x = 151,041,049,600/177,904
  6. Step 6: Final answer
    x = 849,003.11

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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.