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Finding the Third Proportional to 57,146 and 127,540

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Solution

The third proportional to 57,146 and 127,540 is: 284,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146 : 127,540 = 127,540 : x
  2. Step 2: Convert to fraction form
    57,146/127,540 = 127,540/x
  3. Step 3: Cross multiply
    57,146x = 127,540 × 127,540
  4. Step 4: Simplify right side
    57,146x = 16,266,451,600
  5. Step 5: Solve for x
    x = 16,266,451,600/57,146
  6. Step 6: Final answer
    x = 284,647.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.