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Finding the Third Proportional to 389,426 and 839,119

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Solution

The third proportional to 389,426 and 839,119 is: 1,808,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,426 : 839,119 = 839,119 : x
  2. Step 2: Convert to fraction form
    389,426/839,119 = 839,119/x
  3. Step 3: Cross multiply
    389,426x = 839,119 × 839,119
  4. Step 4: Simplify right side
    389,426x = 704,120,696,161
  5. Step 5: Solve for x
    x = 704,120,696,161/389,426
  6. Step 6: Final answer
    x = 1,808,098.83

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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.