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Finding the Third Proportional to 187,967 and 405,487

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Solution

The third proportional to 187,967 and 405,487 is: 874,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,967 : 405,487 = 405,487 : x
  2. Step 2: Convert to fraction form
    187,967/405,487 = 405,487/x
  3. Step 3: Cross multiply
    187,967x = 405,487 × 405,487
  4. Step 4: Simplify right side
    187,967x = 164,419,707,169
  5. Step 5: Solve for x
    x = 164,419,707,169/187,967
  6. Step 6: Final answer
    x = 874,726.45

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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.