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Finding the Third Proportional to 57,771 and 122,830

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Solution

The third proportional to 57,771 and 122,830 is: 261,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,771 : 122,830 = 122,830 : x
  2. Step 2: Convert to fraction form
    57,771/122,830 = 122,830/x
  3. Step 3: Cross multiply
    57,771x = 122,830 × 122,830
  4. Step 4: Simplify right side
    57,771x = 15,087,208,900
  5. Step 5: Solve for x
    x = 15,087,208,900/57,771
  6. Step 6: Final answer
    x = 261,155.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.