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Finding the Third Proportional to 187,721 and 388,749

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Solution

The third proportional to 187,721 and 388,749 is: 805,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,721 : 388,749 = 388,749 : x
  2. Step 2: Convert to fraction form
    187,721/388,749 = 388,749/x
  3. Step 3: Cross multiply
    187,721x = 388,749 × 388,749
  4. Step 4: Simplify right side
    187,721x = 151,125,785,001
  5. Step 5: Solve for x
    x = 151,125,785,001/187,721
  6. Step 6: Final answer
    x = 805,055.29

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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.