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Finding the Third Proportional to 27,428 and 57,272

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Solution

The third proportional to 27,428 and 57,272 is: 119,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428 : 57,272 = 57,272 : x
  2. Step 2: Convert to fraction form
    27,428/57,272 = 57,272/x
  3. Step 3: Cross multiply
    27,428x = 57,272 × 57,272
  4. Step 4: Simplify right side
    27,428x = 3,280,081,984
  5. Step 5: Solve for x
    x = 3,280,081,984/27,428
  6. Step 6: Final answer
    x = 119,588.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.