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Finding the Third Proportional to 72,408.75 and 151,743

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Solution

The third proportional to 72,408.75 and 151,743 is: 317,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,408.75 : 151,743 = 151,743 : x
  2. Step 2: Convert to fraction form
    72,408.75/151,743 = 151,743/x
  3. Step 3: Cross multiply
    72,408.75x = 151,743 × 151,743
  4. Step 4: Simplify right side
    72,408.75x = 23,025,938,049
  5. Step 5: Solve for x
    x = 23,025,938,049/72,408.75
  6. Step 6: Final answer
    x = 317,999.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.