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Finding the Third Proportional to 190,998.56 and 258,471.56

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Solution

The third proportional to 190,998.56 and 258,471.56 is: 349,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,998.56 : 258,471.56 = 258,471.56 : x
  2. Step 2: Convert to fraction form
    190,998.56/258,471.56 = 258,471.56/x
  3. Step 3: Cross multiply
    190,998.56x = 258,471.56 × 258,471.56
  4. Step 4: Simplify right side
    190,998.56x = 66,807,548,621.19
  5. Step 5: Solve for x
    x = 66,807,548,621.19/190,998.56
  6. Step 6: Final answer
    x = 349,780.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.