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Finding the Third Proportional to 55,421 and 122,506

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Solution

The third proportional to 55,421 and 122,506 is: 270,794.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,421 : 122,506 = 122,506 : x
  2. Step 2: Convert to fraction form
    55,421/122,506 = 122,506/x
  3. Step 3: Cross multiply
    55,421x = 122,506 × 122,506
  4. Step 4: Simplify right side
    55,421x = 15,007,720,036
  5. Step 5: Solve for x
    x = 15,007,720,036/55,421
  6. Step 6: Final answer
    x = 270,794.83

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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.