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Finding the Third Proportional to 383,490 and 836,194.50

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Solution

The third proportional to 383,490 and 836,194.50 is: 1,823,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,490 : 836,194.50 = 836,194.50 : x
  2. Step 2: Convert to fraction form
    383,490/836,194.50 = 836,194.50/x
  3. Step 3: Cross multiply
    383,490x = 836,194.50 × 836,194.50
  4. Step 4: Simplify right side
    383,490x = 699,221,241,830.25
  5. Step 5: Solve for x
    x = 699,221,241,830.25/383,490
  6. Step 6: Final answer
    x = 1,823,310.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.