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Finding the Third Proportional to 55,757 and 121,882

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Solution

The third proportional to 55,757 and 121,882 is: 266,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,757 : 121,882 = 121,882 : x
  2. Step 2: Convert to fraction form
    55,757/121,882 = 121,882/x
  3. Step 3: Cross multiply
    55,757x = 121,882 × 121,882
  4. Step 4: Simplify right side
    55,757x = 14,855,221,924
  5. Step 5: Solve for x
    x = 14,855,221,924/55,757
  6. Step 6: Final answer
    x = 266,427.93

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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.