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Finding the Third Proportional to 56,489 and 122,815

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Solution

The third proportional to 56,489 and 122,815 is: 267,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,489 : 122,815 = 122,815 : x
  2. Step 2: Convert to fraction form
    56,489/122,815 = 122,815/x
  3. Step 3: Cross multiply
    56,489x = 122,815 × 122,815
  4. Step 4: Simplify right side
    56,489x = 15,083,524,225
  5. Step 5: Solve for x
    x = 15,083,524,225/56,489
  6. Step 6: Final answer
    x = 267,017.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.