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Finding the Third Proportional to 456,723 and 981,485

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Solution

The third proportional to 456,723 and 981,485 is: 2,109,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,723 : 981,485 = 981,485 : x
  2. Step 2: Convert to fraction form
    456,723/981,485 = 981,485/x
  3. Step 3: Cross multiply
    456,723x = 981,485 × 981,485
  4. Step 4: Simplify right side
    456,723x = 963,312,805,225
  5. Step 5: Solve for x
    x = 963,312,805,225/456,723
  6. Step 6: Final answer
    x = 2,109,183.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.