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Finding the Third Proportional to 178,811.72 and 388,378.13

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Solution

The third proportional to 178,811.72 and 388,378.13 is: 843,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,811.72 : 388,378.13 = 388,378.13 : x
  2. Step 2: Convert to fraction form
    178,811.72/388,378.13 = 388,378.13/x
  3. Step 3: Cross multiply
    178,811.72x = 388,378.13 × 388,378.13
  4. Step 4: Simplify right side
    178,811.72x = 150,837,567,978.52
  5. Step 5: Solve for x
    x = 150,837,567,978.52/178,811.72
  6. Step 6: Final answer
    x = 843,555.27

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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.