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Finding the Third Proportional to 175,428.75 and 378,858

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Solution

The third proportional to 175,428.75 and 378,858 is: 818,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,428.75 : 378,858 = 378,858 : x
  2. Step 2: Convert to fraction form
    175,428.75/378,858 = 378,858/x
  3. Step 3: Cross multiply
    175,428.75x = 378,858 × 378,858
  4. Step 4: Simplify right side
    175,428.75x = 143,533,384,164
  5. Step 5: Solve for x
    x = 143,533,384,164/175,428.75
  6. Step 6: Final answer
    x = 818,186.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.