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Finding the Third Proportional to 55,405.75 and 122,475.25

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Solution

The third proportional to 55,405.75 and 122,475.25 is: 270,733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,405.75 : 122,475.25 = 122,475.25 : x
  2. Step 2: Convert to fraction form
    55,405.75/122,475.25 = 122,475.25/x
  3. Step 3: Cross multiply
    55,405.75x = 122,475.25 × 122,475.25
  4. Step 4: Simplify right side
    55,405.75x = 15,000,186,862.56
  5. Step 5: Solve for x
    x = 15,000,186,862.56/55,405.75
  6. Step 6: Final answer
    x = 270,733.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.