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Finding the Third Proportional to 778,811 and 1,690,482

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Solution

The third proportional to 778,811 and 1,690,482 is: 3,669,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,811 : 1,690,482 = 1,690,482 : x
  2. Step 2: Convert to fraction form
    778,811/1,690,482 = 1,690,482/x
  3. Step 3: Cross multiply
    778,811x = 1,690,482 × 1,690,482
  4. Step 4: Simplify right side
    778,811x = 2,857,729,392,324
  5. Step 5: Solve for x
    x = 2,857,729,392,324/778,811
  6. Step 6: Final answer
    x = 3,669,349.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.