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Finding the Third Proportional to 72,297.75 and 108,021

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Solution

The third proportional to 72,297.75 and 108,021 is: 161,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,297.75 : 108,021 = 108,021 : x
  2. Step 2: Convert to fraction form
    72,297.75/108,021 = 108,021/x
  3. Step 3: Cross multiply
    72,297.75x = 108,021 × 108,021
  4. Step 4: Simplify right side
    72,297.75x = 11,668,536,441
  5. Step 5: Solve for x
    x = 11,668,536,441/72,297.75
  6. Step 6: Final answer
    x = 161,395.57

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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.