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Finding the Third Proportional to 380,579 and 836,490

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Solution

The third proportional to 380,579 and 836,490 is: 1,838,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,579 : 836,490 = 836,490 : x
  2. Step 2: Convert to fraction form
    380,579/836,490 = 836,490/x
  3. Step 3: Cross multiply
    380,579x = 836,490 × 836,490
  4. Step 4: Simplify right side
    380,579x = 699,715,520,100
  5. Step 5: Solve for x
    x = 699,715,520,100/380,579
  6. Step 6: Final answer
    x = 1,838,555.25

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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.