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Finding the Third Proportional to 618,431 and 1,330,356

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Solution

The third proportional to 618,431 and 1,330,356 is: 2,861,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,431 : 1,330,356 = 1,330,356 : x
  2. Step 2: Convert to fraction form
    618,431/1,330,356 = 1,330,356/x
  3. Step 3: Cross multiply
    618,431x = 1,330,356 × 1,330,356
  4. Step 4: Simplify right side
    618,431x = 1,769,847,086,736
  5. Step 5: Solve for x
    x = 1,769,847,086,736/618,431
  6. Step 6: Final answer
    x = 2,861,834.36

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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.