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Finding the Third Proportional to 178,299 and 388,584

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Solution

The third proportional to 178,299 and 388,584 is: 846,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,299 : 388,584 = 388,584 : x
  2. Step 2: Convert to fraction form
    178,299/388,584 = 388,584/x
  3. Step 3: Cross multiply
    178,299x = 388,584 × 388,584
  4. Step 4: Simplify right side
    178,299x = 150,997,525,056
  5. Step 5: Solve for x
    x = 150,997,525,056/178,299
  6. Step 6: Final answer
    x = 846,878.14

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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.