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Finding the Third Proportional to 409,361 and 880,930

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Solution

The third proportional to 409,361 and 880,930 is: 1,895,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,361 : 880,930 = 880,930 : x
  2. Step 2: Convert to fraction form
    409,361/880,930 = 880,930/x
  3. Step 3: Cross multiply
    409,361x = 880,930 × 880,930
  4. Step 4: Simplify right side
    409,361x = 776,037,664,900
  5. Step 5: Solve for x
    x = 776,037,664,900/409,361
  6. Step 6: Final answer
    x = 1,895,729.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.