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Finding the Third Proportional to 55,956 and 78,232.50

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Solution

The third proportional to 55,956 and 78,232.50 is: 109,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,956 : 78,232.50 = 78,232.50 : x
  2. Step 2: Convert to fraction form
    55,956/78,232.50 = 78,232.50/x
  3. Step 3: Cross multiply
    55,956x = 78,232.50 × 78,232.50
  4. Step 4: Simplify right side
    55,956x = 6,120,324,056.25
  5. Step 5: Solve for x
    x = 6,120,324,056.25/55,956
  6. Step 6: Final answer
    x = 109,377.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.