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Finding the Third Proportional to 55,530 and 87,014

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Solution

The third proportional to 55,530 and 87,014 is: 136,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,530 : 87,014 = 87,014 : x
  2. Step 2: Convert to fraction form
    55,530/87,014 = 87,014/x
  3. Step 3: Cross multiply
    55,530x = 87,014 × 87,014
  4. Step 4: Simplify right side
    55,530x = 7,571,436,196
  5. Step 5: Solve for x
    x = 7,571,436,196/55,530
  6. Step 6: Final answer
    x = 136,348.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.