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Finding the Third Proportional to 178,006 and 388,836

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Solution

The third proportional to 178,006 and 388,836 is: 849,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,006 : 388,836 = 388,836 : x
  2. Step 2: Convert to fraction form
    178,006/388,836 = 388,836/x
  3. Step 3: Cross multiply
    178,006x = 388,836 × 388,836
  4. Step 4: Simplify right side
    178,006x = 151,193,434,896
  5. Step 5: Solve for x
    x = 151,193,434,896/178,006
  6. Step 6: Final answer
    x = 849,372.69

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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.