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Finding the Third Proportional to 178,002 and 388,827

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Solution

The third proportional to 178,002 and 388,827 is: 849,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,002 : 388,827 = 388,827 : x
  2. Step 2: Convert to fraction form
    178,002/388,827 = 388,827/x
  3. Step 3: Cross multiply
    178,002x = 388,827 × 388,827
  4. Step 4: Simplify right side
    178,002x = 151,186,435,929
  5. Step 5: Solve for x
    x = 151,186,435,929/178,002
  6. Step 6: Final answer
    x = 849,352.46

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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.