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Finding the Third Proportional to 72,805.75 and 149,138.25

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Solution

The third proportional to 72,805.75 and 149,138.25 is: 305,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,805.75 : 149,138.25 = 149,138.25 : x
  2. Step 2: Convert to fraction form
    72,805.75/149,138.25 = 149,138.25/x
  3. Step 3: Cross multiply
    72,805.75x = 149,138.25 × 149,138.25
  4. Step 4: Simplify right side
    72,805.75x = 22,242,217,613.06
  5. Step 5: Solve for x
    x = 22,242,217,613.06/72,805.75
  6. Step 6: Final answer
    x = 305,500.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.