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Finding the Third Proportional to 389,304 and 839,376

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Solution

The third proportional to 389,304 and 839,376 is: 1,809,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,304 : 839,376 = 839,376 : x
  2. Step 2: Convert to fraction form
    389,304/839,376 = 839,376/x
  3. Step 3: Cross multiply
    389,304x = 839,376 × 839,376
  4. Step 4: Simplify right side
    389,304x = 704,552,069,376
  5. Step 5: Solve for x
    x = 704,552,069,376/389,304
  6. Step 6: Final answer
    x = 1,809,773.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.