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Finding the Third Proportional to 55,548 and 121,257

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Solution

The third proportional to 55,548 and 121,257 is: 264,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,548 : 121,257 = 121,257 : x
  2. Step 2: Convert to fraction form
    55,548/121,257 = 121,257/x
  3. Step 3: Cross multiply
    55,548x = 121,257 × 121,257
  4. Step 4: Simplify right side
    55,548x = 14,703,260,049
  5. Step 5: Solve for x
    x = 14,703,260,049/55,548
  6. Step 6: Final answer
    x = 264,694.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.