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Finding the Third Proportional to 187,779 and 388,680

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Solution

The third proportional to 187,779 and 388,680 is: 804,520.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,779 : 388,680 = 388,680 : x
  2. Step 2: Convert to fraction form
    187,779/388,680 = 388,680/x
  3. Step 3: Cross multiply
    187,779x = 388,680 × 388,680
  4. Step 4: Simplify right side
    187,779x = 151,072,142,400
  5. Step 5: Solve for x
    x = 151,072,142,400/187,779
  6. Step 6: Final answer
    x = 804,520.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.