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Finding the Third Proportional to 448,432 and 981,040

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Solution

The third proportional to 448,432 and 981,040 is: 2,146,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,432 : 981,040 = 981,040 : x
  2. Step 2: Convert to fraction form
    448,432/981,040 = 981,040/x
  3. Step 3: Cross multiply
    448,432x = 981,040 × 981,040
  4. Step 4: Simplify right side
    448,432x = 962,439,481,600
  5. Step 5: Solve for x
    x = 962,439,481,600/448,432
  6. Step 6: Final answer
    x = 2,146,232.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.