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Finding the Third Proportional to 27,611 and 42,518

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Solution

The third proportional to 27,611 and 42,518 is: 65,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,611 : 42,518 = 42,518 : x
  2. Step 2: Convert to fraction form
    27,611/42,518 = 42,518/x
  3. Step 3: Cross multiply
    27,611x = 42,518 × 42,518
  4. Step 4: Simplify right side
    27,611x = 1,807,780,324
  5. Step 5: Solve for x
    x = 1,807,780,324/27,611
  6. Step 6: Final answer
    x = 65,473.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.