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Finding the Third Proportional to 55,860 and 121,757

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Solution

The third proportional to 55,860 and 121,757 is: 265,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,860 : 121,757 = 121,757 : x
  2. Step 2: Convert to fraction form
    55,860/121,757 = 121,757/x
  3. Step 3: Cross multiply
    55,860x = 121,757 × 121,757
  4. Step 4: Simplify right side
    55,860x = 14,824,767,049
  5. Step 5: Solve for x
    x = 14,824,767,049/55,860
  6. Step 6: Final answer
    x = 265,391.46

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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.