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Finding the Third Proportional to 389,424 and 839,115

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Solution

The third proportional to 389,424 and 839,115 is: 1,808,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,424 : 839,115 = 839,115 : x
  2. Step 2: Convert to fraction form
    389,424/839,115 = 839,115/x
  3. Step 3: Cross multiply
    389,424x = 839,115 × 839,115
  4. Step 4: Simplify right side
    389,424x = 704,113,983,225
  5. Step 5: Solve for x
    x = 704,113,983,225/389,424
  6. Step 6: Final answer
    x = 1,808,090.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.