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Finding the Third Proportional to 55,855 and 121,538

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Solution

The third proportional to 55,855 and 121,538 is: 264,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,855 : 121,538 = 121,538 : x
  2. Step 2: Convert to fraction form
    55,855/121,538 = 121,538/x
  3. Step 3: Cross multiply
    55,855x = 121,538 × 121,538
  4. Step 4: Simplify right side
    55,855x = 14,771,485,444
  5. Step 5: Solve for x
    x = 14,771,485,444/55,855
  6. Step 6: Final answer
    x = 264,461.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.