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Finding the Third Proportional to 111,343.50 and 233,619.75

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Solution

The third proportional to 111,343.50 and 233,619.75 is: 490,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,343.50 : 233,619.75 = 233,619.75 : x
  2. Step 2: Convert to fraction form
    111,343.50/233,619.75 = 233,619.75/x
  3. Step 3: Cross multiply
    111,343.50x = 233,619.75 × 233,619.75
  4. Step 4: Simplify right side
    111,343.50x = 54,578,187,590.06
  5. Step 5: Solve for x
    x = 54,578,187,590.06/111,343.50
  6. Step 6: Final answer
    x = 490,178.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.