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Finding the Third Proportional to 648,173.25 and 981,218.25

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Solution

The third proportional to 648,173.25 and 981,218.25 is: 1,485,388.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,173.25 : 981,218.25 = 981,218.25 : x
  2. Step 2: Convert to fraction form
    648,173.25/981,218.25 = 981,218.25/x
  3. Step 3: Cross multiply
    648,173.25x = 981,218.25 × 981,218.25
  4. Step 4: Simplify right side
    648,173.25x = 962,789,254,133.06
  5. Step 5: Solve for x
    x = 962,789,254,133.06/648,173.25
  6. Step 6: Final answer
    x = 1,485,388.75

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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.