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Finding the Third Proportional to 187,206 and 387,660

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Solution

The third proportional to 187,206 and 387,660 is: 802,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,206 : 387,660 = 387,660 : x
  2. Step 2: Convert to fraction form
    187,206/387,660 = 387,660/x
  3. Step 3: Cross multiply
    187,206x = 387,660 × 387,660
  4. Step 4: Simplify right side
    187,206x = 150,280,275,600
  5. Step 5: Solve for x
    x = 150,280,275,600/187,206
  6. Step 6: Final answer
    x = 802,753.52

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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.