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Finding the Third Proportional to 384,932 and 839,740

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Solution

The third proportional to 384,932 and 839,740 is: 1,831,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,932 : 839,740 = 839,740 : x
  2. Step 2: Convert to fraction form
    384,932/839,740 = 839,740/x
  3. Step 3: Cross multiply
    384,932x = 839,740 × 839,740
  4. Step 4: Simplify right side
    384,932x = 705,163,267,600
  5. Step 5: Solve for x
    x = 705,163,267,600/384,932
  6. Step 6: Final answer
    x = 1,831,916.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.