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Finding the Third Proportional to 55,665.38 and 121,321.25

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Solution

The third proportional to 55,665.38 and 121,321.25 is: 264,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,665.38 : 121,321.25 = 121,321.25 : x
  2. Step 2: Convert to fraction form
    55,665.38/121,321.25 = 121,321.25/x
  3. Step 3: Cross multiply
    55,665.38x = 121,321.25 × 121,321.25
  4. Step 4: Simplify right side
    55,665.38x = 14,718,845,701.56
  5. Step 5: Solve for x
    x = 14,718,845,701.56/55,665.38
  6. Step 6: Final answer
    x = 264,416.54

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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.