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Finding the Third Proportional to 383,120 and 818,368

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Solution

The third proportional to 383,120 and 818,368 is: 1,748,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,120 : 818,368 = 818,368 : x
  2. Step 2: Convert to fraction form
    383,120/818,368 = 818,368/x
  3. Step 3: Cross multiply
    383,120x = 818,368 × 818,368
  4. Step 4: Simplify right side
    383,120x = 669,726,183,424
  5. Step 5: Solve for x
    x = 669,726,183,424/383,120
  6. Step 6: Final answer
    x = 1,748,084.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.