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Finding the Third Proportional to 380,818.50 and 836,358

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Solution

The third proportional to 380,818.50 and 836,358 is: 1,836,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,818.50 : 836,358 = 836,358 : x
  2. Step 2: Convert to fraction form
    380,818.50/836,358 = 836,358/x
  3. Step 3: Cross multiply
    380,818.50x = 836,358 × 836,358
  4. Step 4: Simplify right side
    380,818.50x = 699,494,704,164
  5. Step 5: Solve for x
    x = 699,494,704,164/380,818.50
  6. Step 6: Final answer
    x = 1,836,819.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.