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Finding the Third Proportional to 981,780.75 and 2,118,474

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Solution

The third proportional to 981,780.75 and 2,118,474 is: 4,571,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,780.75 : 2,118,474 = 2,118,474 : x
  2. Step 2: Convert to fraction form
    981,780.75/2,118,474 = 2,118,474/x
  3. Step 3: Cross multiply
    981,780.75x = 2,118,474 × 2,118,474
  4. Step 4: Simplify right side
    981,780.75x = 4,487,932,088,676
  5. Step 5: Solve for x
    x = 4,487,932,088,676/981,780.75
  6. Step 6: Final answer
    x = 4,571,216.22

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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.