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Finding the Third Proportional to 449,259 and 981,414

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Solution

The third proportional to 449,259 and 981,414 is: 2,143,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,259 : 981,414 = 981,414 : x
  2. Step 2: Convert to fraction form
    449,259/981,414 = 981,414/x
  3. Step 3: Cross multiply
    449,259x = 981,414 × 981,414
  4. Step 4: Simplify right side
    449,259x = 963,173,439,396
  5. Step 5: Solve for x
    x = 963,173,439,396/449,259
  6. Step 6: Final answer
    x = 2,143,915.74

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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.