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Finding the Third Proportional to 27,652 and 42,887

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Solution

The third proportional to 27,652 and 42,887 is: 66,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652 : 42,887 = 42,887 : x
  2. Step 2: Convert to fraction form
    27,652/42,887 = 42,887/x
  3. Step 3: Cross multiply
    27,652x = 42,887 × 42,887
  4. Step 4: Simplify right side
    27,652x = 1,839,294,769
  5. Step 5: Solve for x
    x = 1,839,294,769/27,652
  6. Step 6: Final answer
    x = 66,515.80

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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.