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Finding the Third Proportional to 409,797 and 839,826

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Solution

The third proportional to 409,797 and 839,826 is: 1,721,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,797 : 839,826 = 839,826 : x
  2. Step 2: Convert to fraction form
    409,797/839,826 = 839,826/x
  3. Step 3: Cross multiply
    409,797x = 839,826 × 839,826
  4. Step 4: Simplify right side
    409,797x = 705,307,710,276
  5. Step 5: Solve for x
    x = 705,307,710,276/409,797
  6. Step 6: Final answer
    x = 1,721,114.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.