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Finding the Third Proportional to 72,778.50 and 115,728.75

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Solution

The third proportional to 72,778.50 and 115,728.75 is: 184,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,778.50 : 115,728.75 = 115,728.75 : x
  2. Step 2: Convert to fraction form
    72,778.50/115,728.75 = 115,728.75/x
  3. Step 3: Cross multiply
    72,778.50x = 115,728.75 × 115,728.75
  4. Step 4: Simplify right side
    72,778.50x = 13,393,143,576.56
  5. Step 5: Solve for x
    x = 13,393,143,576.56/72,778.50
  6. Step 6: Final answer
    x = 184,026.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.