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Finding the Third Proportional to 27,712 and 42,996

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Solution

The third proportional to 27,712 and 42,996 is: 66,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712 : 42,996 = 42,996 : x
  2. Step 2: Convert to fraction form
    27,712/42,996 = 42,996/x
  3. Step 3: Cross multiply
    27,712x = 42,996 × 42,996
  4. Step 4: Simplify right side
    27,712x = 1,848,656,016
  5. Step 5: Solve for x
    x = 1,848,656,016/27,712
  6. Step 6: Final answer
    x = 66,709.58

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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.