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Finding the Third Proportional to 187,906 and 405,368

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Solution

The third proportional to 187,906 and 405,368 is: 874,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,906 : 405,368 = 405,368 : x
  2. Step 2: Convert to fraction form
    187,906/405,368 = 405,368/x
  3. Step 3: Cross multiply
    187,906x = 405,368 × 405,368
  4. Step 4: Simplify right side
    187,906x = 164,323,215,424
  5. Step 5: Solve for x
    x = 164,323,215,424/187,906
  6. Step 6: Final answer
    x = 874,496.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.