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Finding the Third Proportional to 178,956.84 and 388,975.92

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Solution

The third proportional to 178,956.84 and 388,975.92 is: 845,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,956.84 : 388,975.92 = 388,975.92 : x
  2. Step 2: Convert to fraction form
    178,956.84/388,975.92 = 388,975.92/x
  3. Step 3: Cross multiply
    178,956.84x = 388,975.92 × 388,975.92
  4. Step 4: Simplify right side
    178,956.84x = 151,302,267,798.51
  5. Step 5: Solve for x
    x = 151,302,267,798.51/178,956.84
  6. Step 6: Final answer
    x = 845,467.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.