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Finding the Third Proportional to 56,538 and 122,904

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Solution

The third proportional to 56,538 and 122,904 is: 267,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,538 : 122,904 = 122,904 : x
  2. Step 2: Convert to fraction form
    56,538/122,904 = 122,904/x
  3. Step 3: Cross multiply
    56,538x = 122,904 × 122,904
  4. Step 4: Simplify right side
    56,538x = 15,105,393,216
  5. Step 5: Solve for x
    x = 15,105,393,216/56,538
  6. Step 6: Final answer
    x = 267,172.40

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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.