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Finding the Third Proportional to 27,702 and 42,965

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Solution

The third proportional to 27,702 and 42,965 is: 66,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 42,965 = 42,965 : x
  2. Step 2: Convert to fraction form
    27,702/42,965 = 42,965/x
  3. Step 3: Cross multiply
    27,702x = 42,965 × 42,965
  4. Step 4: Simplify right side
    27,702x = 1,845,991,225
  5. Step 5: Solve for x
    x = 1,845,991,225/27,702
  6. Step 6: Final answer
    x = 66,637.47

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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.