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Finding the Third Proportional to 187,728.38 and 388,764.75

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Solution

The third proportional to 187,728.38 and 388,764.75 is: 805,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,728.38 : 388,764.75 = 388,764.75 : x
  2. Step 2: Convert to fraction form
    187,728.38/388,764.75 = 388,764.75/x
  3. Step 3: Cross multiply
    187,728.38x = 388,764.75 × 388,764.75
  4. Step 4: Simplify right side
    187,728.38x = 151,138,030,842.56
  5. Step 5: Solve for x
    x = 151,138,030,842.56/187,728.38
  6. Step 6: Final answer
    x = 805,088.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.