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Finding the Third Proportional to 449,578.69 and 981,534.38

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Solution

The third proportional to 449,578.69 and 981,534.38 is: 2,142,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,578.69 : 981,534.38 = 981,534.38 : x
  2. Step 2: Convert to fraction form
    449,578.69/981,534.38 = 981,534.38/x
  3. Step 3: Cross multiply
    449,578.69x = 981,534.38 × 981,534.38
  4. Step 4: Simplify right side
    449,578.69x = 963,409,729,306.64
  5. Step 5: Solve for x
    x = 963,409,729,306.64/449,578.69
  6. Step 6: Final answer
    x = 2,142,916.82

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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.