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Finding the Third Proportional to 187,012 and 405,728

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Solution

The third proportional to 187,012 and 405,728 is: 880,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,012 : 405,728 = 405,728 : x
  2. Step 2: Convert to fraction form
    187,012/405,728 = 405,728/x
  3. Step 3: Cross multiply
    187,012x = 405,728 × 405,728
  4. Step 4: Simplify right side
    187,012x = 164,615,209,984
  5. Step 5: Solve for x
    x = 164,615,209,984/187,012
  6. Step 6: Final answer
    x = 880,238.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.