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Finding the Third Proportional to 27,669 and 42,912

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Solution

The third proportional to 27,669 and 42,912 is: 66,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,669 : 42,912 = 42,912 : x
  2. Step 2: Convert to fraction form
    27,669/42,912 = 42,912/x
  3. Step 3: Cross multiply
    27,669x = 42,912 × 42,912
  4. Step 4: Simplify right side
    27,669x = 1,841,439,744
  5. Step 5: Solve for x
    x = 1,841,439,744/27,669
  6. Step 6: Final answer
    x = 66,552.45

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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.