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Finding the Third Proportional to 981,498 and 2,117,652

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Solution

The third proportional to 981,498 and 2,117,652 is: 4,568,985.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,498 : 2,117,652 = 2,117,652 : x
  2. Step 2: Convert to fraction form
    981,498/2,117,652 = 2,117,652/x
  3. Step 3: Cross multiply
    981,498x = 2,117,652 × 2,117,652
  4. Step 4: Simplify right side
    981,498x = 4,484,449,993,104
  5. Step 5: Solve for x
    x = 4,484,449,993,104/981,498
  6. Step 6: Final answer
    x = 4,568,985.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.