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Finding the Third Proportional to 57,132 and 133,515

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Solution

The third proportional to 57,132 and 133,515 is: 312,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132 : 133,515 = 133,515 : x
  2. Step 2: Convert to fraction form
    57,132/133,515 = 133,515/x
  3. Step 3: Cross multiply
    57,132x = 133,515 × 133,515
  4. Step 4: Simplify right side
    57,132x = 17,826,255,225
  5. Step 5: Solve for x
    x = 17,826,255,225/57,132
  6. Step 6: Final answer
    x = 312,018.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.