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Finding the Third Proportional to 190,391.77 and 418,144.78

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Solution

The third proportional to 190,391.77 and 418,144.78 is: 918,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,391.77 : 418,144.78 = 418,144.78 : x
  2. Step 2: Convert to fraction form
    190,391.77/418,144.78 = 418,144.78/x
  3. Step 3: Cross multiply
    190,391.77x = 418,144.78 × 418,144.78
  4. Step 4: Simplify right side
    190,391.77x = 174,845,058,086.61
  5. Step 5: Solve for x
    x = 174,845,058,086.61/190,391.77
  6. Step 6: Final answer
    x = 918,343.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.