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Finding the Third Proportional to 57,144 and 85,661

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Solution

The third proportional to 57,144 and 85,661 is: 128,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144 : 85,661 = 85,661 : x
  2. Step 2: Convert to fraction form
    57,144/85,661 = 85,661/x
  3. Step 3: Cross multiply
    57,144x = 85,661 × 85,661
  4. Step 4: Simplify right side
    57,144x = 7,337,806,921
  5. Step 5: Solve for x
    x = 7,337,806,921/57,144
  6. Step 6: Final answer
    x = 128,409.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.