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Finding the Third Proportional to 410,266 and 620,866

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Solution

The third proportional to 410,266 and 620,866 is: 939,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,266 : 620,866 = 620,866 : x
  2. Step 2: Convert to fraction form
    410,266/620,866 = 620,866/x
  3. Step 3: Cross multiply
    410,266x = 620,866 × 620,866
  4. Step 4: Simplify right side
    410,266x = 385,474,589,956
  5. Step 5: Solve for x
    x = 385,474,589,956/410,266
  6. Step 6: Final answer
    x = 939,572.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.