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Finding the Third Proportional to 179,877 and 389,562

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Solution

The third proportional to 179,877 and 389,562 is: 843,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,877 : 389,562 = 389,562 : x
  2. Step 2: Convert to fraction form
    179,877/389,562 = 389,562/x
  3. Step 3: Cross multiply
    179,877x = 389,562 × 389,562
  4. Step 4: Simplify right side
    179,877x = 151,758,551,844
  5. Step 5: Solve for x
    x = 151,758,551,844/179,877
  6. Step 6: Final answer
    x = 843,679.58

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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.