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Finding the Third Proportional to 187,730 and 388,768

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Solution

The third proportional to 187,730 and 388,768 is: 805,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,730 : 388,768 = 388,768 : x
  2. Step 2: Convert to fraction form
    187,730/388,768 = 388,768/x
  3. Step 3: Cross multiply
    187,730x = 388,768 × 388,768
  4. Step 4: Simplify right side
    187,730x = 151,140,557,824
  5. Step 5: Solve for x
    x = 151,140,557,824/187,730
  6. Step 6: Final answer
    x = 805,095.39

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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.