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Finding the Third Proportional to 579,974 and 1,273,421

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Solution

The third proportional to 579,974 and 1,273,421 is: 2,795,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,974 : 1,273,421 = 1,273,421 : x
  2. Step 2: Convert to fraction form
    579,974/1,273,421 = 1,273,421/x
  3. Step 3: Cross multiply
    579,974x = 1,273,421 × 1,273,421
  4. Step 4: Simplify right side
    579,974x = 1,621,601,043,241
  5. Step 5: Solve for x
    x = 1,621,601,043,241/579,974
  6. Step 6: Final answer
    x = 2,795,989.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.