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Finding the Third Proportional to 55,686 and 122,468

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Solution

The third proportional to 55,686 and 122,468 is: 269,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,686 : 122,468 = 122,468 : x
  2. Step 2: Convert to fraction form
    55,686/122,468 = 122,468/x
  3. Step 3: Cross multiply
    55,686x = 122,468 × 122,468
  4. Step 4: Simplify right side
    55,686x = 14,998,411,024
  5. Step 5: Solve for x
    x = 14,998,411,024/55,686
  6. Step 6: Final answer
    x = 269,338.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.