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Finding the Third Proportional to 56,110.50 and 120,102.75

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Solution

The third proportional to 56,110.50 and 120,102.75 is: 257,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,110.50 : 120,102.75 = 120,102.75 : x
  2. Step 2: Convert to fraction form
    56,110.50/120,102.75 = 120,102.75/x
  3. Step 3: Cross multiply
    56,110.50x = 120,102.75 × 120,102.75
  4. Step 4: Simplify right side
    56,110.50x = 14,424,670,557.56
  5. Step 5: Solve for x
    x = 14,424,670,557.56/56,110.50
  6. Step 6: Final answer
    x = 257,076.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.