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Finding the Third Proportional to 187,965 and 405,271

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Solution

The third proportional to 187,965 and 405,271 is: 873,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,965 : 405,271 = 405,271 : x
  2. Step 2: Convert to fraction form
    187,965/405,271 = 405,271/x
  3. Step 3: Cross multiply
    187,965x = 405,271 × 405,271
  4. Step 4: Simplify right side
    187,965x = 164,244,583,441
  5. Step 5: Solve for x
    x = 164,244,583,441/187,965
  6. Step 6: Final answer
    x = 873,804.08

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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.