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Finding the Third Proportional to 648,259.50 and 981,336.75

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Solution

The third proportional to 648,259.50 and 981,336.75 is: 1,485,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,259.50 : 981,336.75 = 981,336.75 : x
  2. Step 2: Convert to fraction form
    648,259.50/981,336.75 = 981,336.75/x
  3. Step 3: Cross multiply
    648,259.50x = 981,336.75 × 981,336.75
  4. Step 4: Simplify right side
    648,259.50x = 963,021,816,900.56
  5. Step 5: Solve for x
    x = 963,021,816,900.56/648,259.50
  6. Step 6: Final answer
    x = 1,485,549.87

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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.