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Finding the Third Proportional to 27,021 and 57,780

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Solution

The third proportional to 27,021 and 57,780 is: 123,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021 : 57,780 = 57,780 : x
  2. Step 2: Convert to fraction form
    27,021/57,780 = 57,780/x
  3. Step 3: Cross multiply
    27,021x = 57,780 × 57,780
  4. Step 4: Simplify right side
    27,021x = 3,338,528,400
  5. Step 5: Solve for x
    x = 3,338,528,400/27,021
  6. Step 6: Final answer
    x = 123,553.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.