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Finding the Third Proportional to 55,402 and 121,172

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Solution

The third proportional to 55,402 and 121,172 is: 265,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,402 : 121,172 = 121,172 : x
  2. Step 2: Convert to fraction form
    55,402/121,172 = 121,172/x
  3. Step 3: Cross multiply
    55,402x = 121,172 × 121,172
  4. Step 4: Simplify right side
    55,402x = 14,682,653,584
  5. Step 5: Solve for x
    x = 14,682,653,584/55,402
  6. Step 6: Final answer
    x = 265,020.28

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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.