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Finding the Third Proportional to 27,972 and 57,240

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Solution

The third proportional to 27,972 and 57,240 is: 117,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 57,240 = 57,240 : x
  2. Step 2: Convert to fraction form
    27,972/57,240 = 57,240/x
  3. Step 3: Cross multiply
    27,972x = 57,240 × 57,240
  4. Step 4: Simplify right side
    27,972x = 3,276,417,600
  5. Step 5: Solve for x
    x = 3,276,417,600/27,972
  6. Step 6: Final answer
    x = 117,132.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.