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Finding the Third Proportional to 387,394 and 839,128

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Solution

The third proportional to 387,394 and 839,128 is: 1,817,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,394 : 839,128 = 839,128 : x
  2. Step 2: Convert to fraction form
    387,394/839,128 = 839,128/x
  3. Step 3: Cross multiply
    387,394x = 839,128 × 839,128
  4. Step 4: Simplify right side
    387,394x = 704,135,800,384
  5. Step 5: Solve for x
    x = 704,135,800,384/387,394
  6. Step 6: Final answer
    x = 1,817,621.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.