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Finding the Third Proportional to 187,600 and 399,804

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Solution

The third proportional to 187,600 and 399,804 is: 852,042.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,600 : 399,804 = 399,804 : x
  2. Step 2: Convert to fraction form
    187,600/399,804 = 399,804/x
  3. Step 3: Cross multiply
    187,600x = 399,804 × 399,804
  4. Step 4: Simplify right side
    187,600x = 159,843,238,416
  5. Step 5: Solve for x
    x = 159,843,238,416/187,600
  6. Step 6: Final answer
    x = 852,042.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.