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Finding the Third Proportional to 220,395 and 327,352.50

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Solution

The third proportional to 220,395 and 327,352.50 is: 486,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,395 : 327,352.50 = 327,352.50 : x
  2. Step 2: Convert to fraction form
    220,395/327,352.50 = 327,352.50/x
  3. Step 3: Cross multiply
    220,395x = 327,352.50 × 327,352.50
  4. Step 4: Simplify right side
    220,395x = 107,159,659,256.25
  5. Step 5: Solve for x
    x = 107,159,659,256.25/220,395
  6. Step 6: Final answer
    x = 486,216.38

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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.