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Finding the Third Proportional to 27,630 and 42,859

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Solution

The third proportional to 27,630 and 42,859 is: 66,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,630 : 42,859 = 42,859 : x
  2. Step 2: Convert to fraction form
    27,630/42,859 = 42,859/x
  3. Step 3: Cross multiply
    27,630x = 42,859 × 42,859
  4. Step 4: Simplify right side
    27,630x = 1,836,893,881
  5. Step 5: Solve for x
    x = 1,836,893,881/27,630
  6. Step 6: Final answer
    x = 66,481.86

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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.