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Finding the Third Proportional to 55,481 and 122,011

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Solution

The third proportional to 55,481 and 122,011 is: 268,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,481 : 122,011 = 122,011 : x
  2. Step 2: Convert to fraction form
    55,481/122,011 = 122,011/x
  3. Step 3: Cross multiply
    55,481x = 122,011 × 122,011
  4. Step 4: Simplify right side
    55,481x = 14,886,684,121
  5. Step 5: Solve for x
    x = 14,886,684,121/55,481
  6. Step 6: Final answer
    x = 268,320.40

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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.