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Finding the Third Proportional to 55,705 and 122,021

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Solution

The third proportional to 55,705 and 122,021 is: 267,285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,705 : 122,021 = 122,021 : x
  2. Step 2: Convert to fraction form
    55,705/122,021 = 122,021/x
  3. Step 3: Cross multiply
    55,705x = 122,021 × 122,021
  4. Step 4: Simplify right side
    55,705x = 14,889,124,441
  5. Step 5: Solve for x
    x = 14,889,124,441/55,705
  6. Step 6: Final answer
    x = 267,285.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.