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Finding the Third Proportional to 57,002 and 87,735

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Solution

The third proportional to 57,002 and 87,735 is: 135,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002 : 87,735 = 87,735 : x
  2. Step 2: Convert to fraction form
    57,002/87,735 = 87,735/x
  3. Step 3: Cross multiply
    57,002x = 87,735 × 87,735
  4. Step 4: Simplify right side
    57,002x = 7,697,430,225
  5. Step 5: Solve for x
    x = 7,697,430,225/57,002
  6. Step 6: Final answer
    x = 135,037.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.