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Finding the Third Proportional to 57,153 and 87,915

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Solution

The third proportional to 57,153 and 87,915 is: 135,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153 : 87,915 = 87,915 : x
  2. Step 2: Convert to fraction form
    57,153/87,915 = 87,915/x
  3. Step 3: Cross multiply
    57,153x = 87,915 × 87,915
  4. Step 4: Simplify right side
    57,153x = 7,729,047,225
  5. Step 5: Solve for x
    x = 7,729,047,225/57,153
  6. Step 6: Final answer
    x = 135,234.32

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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.