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Finding the Third Proportional to 179,659 and 383,420

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Solution

The third proportional to 179,659 and 383,420 is: 818,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,659 : 383,420 = 383,420 : x
  2. Step 2: Convert to fraction form
    179,659/383,420 = 383,420/x
  3. Step 3: Cross multiply
    179,659x = 383,420 × 383,420
  4. Step 4: Simplify right side
    179,659x = 147,010,896,400
  5. Step 5: Solve for x
    x = 147,010,896,400/179,659
  6. Step 6: Final answer
    x = 818,277.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.