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Finding the Third Proportional to 648,208.50 and 981,255.75

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Solution

The third proportional to 648,208.50 and 981,255.75 is: 1,485,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,208.50 : 981,255.75 = 981,255.75 : x
  2. Step 2: Convert to fraction form
    648,208.50/981,255.75 = 981,255.75/x
  3. Step 3: Cross multiply
    648,208.50x = 981,255.75 × 981,255.75
  4. Step 4: Simplify right side
    648,208.50x = 962,862,846,908.06
  5. Step 5: Solve for x
    x = 962,862,846,908.06/648,208.50
  6. Step 6: Final answer
    x = 1,485,421.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.