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Finding the Third Proportional to 27,576 and 42,768

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Solution

The third proportional to 27,576 and 42,768 is: 66,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 42,768 = 42,768 : x
  2. Step 2: Convert to fraction form
    27,576/42,768 = 42,768/x
  3. Step 3: Cross multiply
    27,576x = 42,768 × 42,768
  4. Step 4: Simplify right side
    27,576x = 1,829,101,824
  5. Step 5: Solve for x
    x = 1,829,101,824/27,576
  6. Step 6: Final answer
    x = 66,329.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.