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Finding the Third Proportional to 57,685 and 127,895

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Solution

The third proportional to 57,685 and 127,895 is: 283,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,685 : 127,895 = 127,895 : x
  2. Step 2: Convert to fraction form
    57,685/127,895 = 127,895/x
  3. Step 3: Cross multiply
    57,685x = 127,895 × 127,895
  4. Step 4: Simplify right side
    57,685x = 16,357,131,025
  5. Step 5: Solve for x
    x = 16,357,131,025/57,685
  6. Step 6: Final answer
    x = 283,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.