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Finding the Third Proportional to 55,496 and 121,357

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Solution

The third proportional to 55,496 and 121,357 is: 265,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496 : 121,357 = 121,357 : x
  2. Step 2: Convert to fraction form
    55,496/121,357 = 121,357/x
  3. Step 3: Cross multiply
    55,496x = 121,357 × 121,357
  4. Step 4: Simplify right side
    55,496x = 14,727,521,449
  5. Step 5: Solve for x
    x = 14,727,521,449/55,496
  6. Step 6: Final answer
    x = 265,379.87

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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.