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Finding the Third Proportional to 187,717 and 388,742

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Solution

The third proportional to 187,717 and 388,742 is: 805,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,717 : 388,742 = 388,742 : x
  2. Step 2: Convert to fraction form
    187,717/388,742 = 388,742/x
  3. Step 3: Cross multiply
    187,717x = 388,742 × 388,742
  4. Step 4: Simplify right side
    187,717x = 151,120,342,564
  5. Step 5: Solve for x
    x = 151,120,342,564/187,717
  6. Step 6: Final answer
    x = 805,043.46

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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.