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Finding the Third Proportional to 413,958.09 and 648,001.27

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Solution

The third proportional to 413,958.09 and 648,001.27 is: 1,014,367.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,958.09 : 648,001.27 = 648,001.27 : x
  2. Step 2: Convert to fraction form
    413,958.09/648,001.27 = 648,001.27/x
  3. Step 3: Cross multiply
    413,958.09x = 648,001.27 × 648,001.27
  4. Step 4: Simplify right side
    413,958.09x = 419,905,640,251.60
  5. Step 5: Solve for x
    x = 419,905,640,251.60/413,958.09
  6. Step 6: Final answer
    x = 1,014,367.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.