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Finding the Third Proportional to 326,078 and 486,108

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Solution

The third proportional to 326,078 and 486,108 is: 724,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,078 : 486,108 = 486,108 : x
  2. Step 2: Convert to fraction form
    326,078/486,108 = 486,108/x
  3. Step 3: Cross multiply
    326,078x = 486,108 × 486,108
  4. Step 4: Simplify right side
    326,078x = 236,300,987,664
  5. Step 5: Solve for x
    x = 236,300,987,664/326,078
  6. Step 6: Final answer
    x = 724,676.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.