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Finding the Third Proportional to 27,774 and 42,882

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Solution

The third proportional to 27,774 and 42,882 is: 66,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 42,882 = 42,882 : x
  2. Step 2: Convert to fraction form
    27,774/42,882 = 42,882/x
  3. Step 3: Cross multiply
    27,774x = 42,882 × 42,882
  4. Step 4: Simplify right side
    27,774x = 1,838,865,924
  5. Step 5: Solve for x
    x = 1,838,865,924/27,774
  6. Step 6: Final answer
    x = 66,208.18

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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.