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Finding the Third Proportional to 55,945 and 121,629

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Solution

The third proportional to 55,945 and 121,629 is: 264,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,945 : 121,629 = 121,629 : x
  2. Step 2: Convert to fraction form
    55,945/121,629 = 121,629/x
  3. Step 3: Cross multiply
    55,945x = 121,629 × 121,629
  4. Step 4: Simplify right side
    55,945x = 14,793,613,641
  5. Step 5: Solve for x
    x = 14,793,613,641/55,945
  6. Step 6: Final answer
    x = 264,431.38

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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.