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Finding the Third Proportional to 57,972 and 127,028

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Solution

The third proportional to 57,972 and 127,028 is: 278,343.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,972 : 127,028 = 127,028 : x
  2. Step 2: Convert to fraction form
    57,972/127,028 = 127,028/x
  3. Step 3: Cross multiply
    57,972x = 127,028 × 127,028
  4. Step 4: Simplify right side
    57,972x = 16,136,112,784
  5. Step 5: Solve for x
    x = 16,136,112,784/57,972
  6. Step 6: Final answer
    x = 278,343.21

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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.