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Finding the Third Proportional to 57,780 and 124,185

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Solution

The third proportional to 57,780 and 124,185 is: 266,907.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,780 : 124,185 = 124,185 : x
  2. Step 2: Convert to fraction form
    57,780/124,185 = 124,185/x
  3. Step 3: Cross multiply
    57,780x = 124,185 × 124,185
  4. Step 4: Simplify right side
    57,780x = 15,421,914,225
  5. Step 5: Solve for x
    x = 15,421,914,225/57,780
  6. Step 6: Final answer
    x = 266,907.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.